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101212000122222 = 232117147031530853
BaseRepresentation
bin10111000000110101000001…
…010100000111010101101110
3111021100202212022101000021100
4113000311001110013111232
5101231224134012402342
6555132052335343530
730214216500201333
oct2700650124072556
9437322768330240
10101212000122222
112a28184a528750
12b427692081ba6
134462334908c92
141adc988d8a98a
15ba7b52c51e4c
hex5c0d4150756e

101212000122222 has 96 divisors (see below), whose sum is σ = 242649519630336. Its totient is φ = 30231877636800.

The previous prime is 101212000122197. The next prime is 101212000122239. The reversal of 101212000122222 is 222221000212101.

It is a happy number.

101212000122222 is a `hidden beast` number, since 1 + 0 + 121 + 200 + 0 + 122 + 222 = 666.

It is a super-2 number, since 2×1012120001222222 (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 = 101212000122195 and 101212000122204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65349348 + ... + 66880200.

It is an arithmetic number, because the mean of its divisors is an integer number (2527599162816).

Almost surely, 2101212000122222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101212000122222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121324759815168).

101212000122222 is an abundant number, since it is smaller than the sum of its proper divisors (141437519508114).

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

101212000122222 is a wasteful number, since it uses less digits than its factorization.

101212000122222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535646 (or 1535643 counting only the distinct ones).

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

Adding to 101212000122222 its reverse (222221000212101), we get a palindrome (323433000334323).

The spelling of 101212000122222 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 639 781 1278 1562 2343 4686 4703 7029 9406 14058 14109 28218 42327 51733 84654 103466 155199 310398 333913 465597 667826 931194 1001739 1530853 2003478 3005217 3061706 3673043 4592559 6010434 7346086 9185118 11019129 13777677 16839383 22038258 27555354 33057387 33678766 50518149 66114774 101036298 108690563 151554447 217381126 303108894 326071689 652143378 978215067 1195596193 1956430134 2391192386 3586788579 7173577158 7199601659 10760365737 14399203318 21520731474 21598804977 43197609954 64796414931 79195618249 129592829862 158391236498 237586854747 475173709494 511171717789 712760564241 1022343435578 1425521128482 1533515153367 3067030306734 4600545460101 5622888895679 9201090920202 11245777791358 16868666687037 33737333374074 50606000061111 101212000122222