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110212120022022 = 23441239262126489
BaseRepresentation
bin11001000011110011000010…
…010000111000110000000110
3112110020011202010210101020000
4121003303002100320300012
5103421203410211201042
61030222425440022130
732133364035122664
oct3103630220706006
9473204663711200
10110212120022022
113213177458a317
121043ba20001946
134965c5c5890a5
141d3041b963c34
15cb1d0bc1474c
hex643cc2438c06

110212120022022 has 160 divisors (see below), whose sum is σ = 254145136291200. Its totient is φ = 35676411724800.

The previous prime is 110212120022021. The next prime is 110212120022041. The reversal of 110212120022022 is 220220021212011.

It is a happy number.

110212120022022 is a `hidden beast` number, since 1 + 10 + 212 + 1 + 200 + 220 + 22 = 666.

It is a super-2 number, since 2×1102121200220222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110212120021986 and 110212120022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110212120022021) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4160661754 + ... + 4160688242.

It is an arithmetic number, because the mean of its divisors is an integer number (1588407101820).

Almost surely, 2110212120022022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110212120022022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127072568145600).

110212120022022 is an abundant number, since it is smaller than the sum of its proper divisors (143933016269178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110212120022022 is a wasteful number, since it uses less digits than its factorization.

110212120022022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29404 (or 29395 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 110212120022022 its reverse (220220021212011), we get a palindrome (330432141234033).

The spelling of 110212120022022 in words is "one hundred ten trillion, two hundred twelve billion, one hundred twenty million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 239 246 369 478 717 738 1107 1434 2151 2214 2621 3321 4302 5242 6453 6642 7863 9799 12906 15726 19359 19598 23589 26489 29397 38718 47178 52978 58794 70767 79467 88191 107461 141534 158934 176382 212301 214922 238401 264573 322383 424602 476802 529146 626419 644766 715203 793719 967149 1086049 1252838 1430406 1587438 1879257 1934298 2145609 2172098 2901447 3258147 3758514 4291218 5637771 5802894 6330871 6516294 8704341 9774441 11275542 12661742 16913313 17408682 18992613 19548882 25683179 29323323 33826626 37985226 50739939 51366358 56977839 58646646 69427669 77049537 87969969 101479878 113955678 138855338 154099074 170933517 175939938 208283007 231148611 259565711 341867034 416566014 462297222 512800551 519131422 624849021 693445833 778697133 1025601102 1249698042 1386891666 1557394266 1874547063 2080337499 2336091399 2846534429 3749094126 4160674998 4672182798 5623641189 5693068858 7008274197 8539603287 11247282378 14016548394 16593212891 17079206574 21024822591 25618809861 33186425782 42049645182 49779638673 51237619722 76856429583 99559277346 149338916019 153712859166 230569288749 298677832038 448016748057 461138577498 680321728531 896033496114 1344050244171 1360643457062 2040965185593 2688100488342 4081930371186 6122895556779 12245791113558 18368686670337 36737373340674 55106060011011 110212120022022