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110000110220112 = 24378915259241067
BaseRepresentation
bin11001000000101101100101…
…011111101011001101010000
3112102110220111210221112200110
4121000231211133223031100
5103404220211204020422
61025541204130121320
732112150163416150
oct3100554537531520
9472426453845613
10110000110220112
113205a86a5821a2
1210406912420240
13494bc73082a68
141d24068832760
15cab54e23560c
hex640b657eb350

110000110220112 has 160 divisors (see below), whose sum is σ = 328434128870400. Its totient is φ = 31073307116544.

The previous prime is 110000110220069. The next prime is 110000110220131. The reversal of 110000110220112 is 211022011000011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456184603 + ... + 456425669.

It is an arithmetic number, because the mean of its divisors is an integer number (2052713305440).

Almost surely, 2110000110220112 is an apocalyptic number.

110000110220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110000110220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164217064435200).

110000110220112 is an abundant number, since it is smaller than the sum of its proper divisors (218434018650288).

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

110000110220112 is a wasteful number, since it uses less digits than its factorization.

110000110220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256433 (or 256427 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110000110220112 its reverse (211022011000011), we get a palindrome (321022121220123).

The spelling of 110000110220112 in words is "one hundred ten trillion, one hundred ten million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 112 168 178 267 336 356 534 623 712 1068 1246 1424 1869 2136 2492 3738 4272 4984 7476 9968 14952 15259 29904 30518 45777 61036 91554 106813 122072 183108 213626 241067 244144 320439 366216 427252 482134 640878 723201 732432 854504 964268 1281756 1358051 1446402 1687469 1709008 1928536 2563512 2716102 2892804 3374938 3857072 4074153 5062407 5127024 5432204 5785608 6749876 8148306 9506357 10124814 10864408 11571216 13499752 16296612 19012714 20249628 21454963 21728816 26999504 28519071 32593224 38025428 40499256 42909926 57038142 64364889 65186448 76050856 80998512 85819852 114076284 128729778 150184741 152101712 171639704 228152568 257459556 300369482 343279408 450554223 456305136 514919112 600738964 901108446 1029838224 1201477928 1802216892 2402955856 3604433784 3678441353 7208867568 7356882706 11035324059 14713765412 22070648118 25749089471 29427530824 44141296236 51498178942 58855061648 77247268413 88282592472 102996357884 154494536826 176565184944 205992715768 308989073652 327381280417 411985431536 617978147304 654762560834 982143841251 1235956294608 1309525121668 1964287682502 2291668962919 2619050243336 3928575365004 4583337925838 5238100486672 6875006888757 7857150730008 9166675851676 13750013777514 15714301460016 18333351703352 27500027555028 36666703406704 55000055110056 110000110220112