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111012102022122 = 232741149144221383
BaseRepresentation
bin11001001111011100000100…
…111010000010001111101010
3112120001122122021001121222200
4121033130010322002033222
5104022310241104201442
61032034131114401030
732245234242666120
oct3117340472021752
9476048567047880
10111012102022122
113240aa7156a464
121054aa80430176
1349c351c8a2822
141d5b02b761910
15cc7a2d64d34c
hex64f704e823ea

111012102022122 has 96 divisors (see below), whose sum is σ = 283481552390400. Its totient is φ = 30736460931840.

The previous prime is 111012102022121. The next prime is 111012102022141. The reversal of 111012102022122 is 221220201210111.

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 = 111012102022095 and 111012102022104.

It is not an unprimeable number, because it can be changed into a prime (111012102022121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 71340958 + ... + 72880425.

It is an arithmetic number, because the mean of its divisors is an integer number (2952932837400).

Almost surely, 2111012102022122 is an apocalyptic number.

111012102022122 is an abundant number, since it is smaller than the sum of its proper divisors (172469450368278).

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

111012102022122 is a wasteful number, since it uses less digits than its factorization.

111012102022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144221588 (or 144221585 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111012102022122 its reverse (221220201210111), we get a palindrome (332232303232233).

The spelling of 111012102022122 in words is "one hundred eleven trillion, twelve billion, one hundred two million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 149 246 287 298 369 447 574 738 861 894 1043 1341 1722 2086 2583 2682 3129 5166 6109 6258 9387 12218 18327 18774 36654 42763 54981 85526 109962 128289 256578 384867 769734 144221383 288442766 432664149 865328298 1009549681 1297992447 2019099362 2595984894 3028649043 5913076703 6057298086 9085947129 11826153406 17739230109 18171894258 21488986067 35478460218 41391536921 42977972134 53217690327 64466958201 82783073842 106435380654 124174610763 128933916402 150422902469 193400874603 248349221526 300845804938 372523832289 386801749206 451268707407 745047664578 881048428747 902537414814 1353806122221 1762096857494 2643145286241 2707612244442 5286290572482 6167339001229 7929435858723 12334678002458 15858871717446 18502017003687 37004034007374 55506051011061 111012102022122