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113323113321231 = 311103733129735069
BaseRepresentation
bin11001110001000100010111…
…111010100001001100001111
3112212020120202121112110101210
4121301010113322201030033
5104323141214002234411
61041003530343105503
732604216250632432
oct3161042772411417
9485216677473353
10113323113321231
1133121076162540
1210862941442293
134b304293180a8
141ddac21925819
15d17bda85bca6
hex671117ea130f

113323113321231 has 64 divisors (see below), whose sum is σ = 166794257710080. Its totient is φ = 67866780579840.

The previous prime is 113323113321199. The next prime is 113323113321293. The reversal of 113323113321231 is 132123311323311.

It is not a de Polignac number, because 113323113321231 - 25 = 113323113321199 is a prime.

It is a super-2 number, since 2×1133231133212312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113323113326231) 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 63 ways as a sum of consecutive naturals, for example, 3231415165 + ... + 3231450233.

It is an arithmetic number, because the mean of its divisors is an integer number (2606160276720).

Almost surely, 2113323113321231 is an apocalyptic number.

113323113321231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113323113321231 is a deficient number, since it is larger than the sum of its proper divisors (53471144388849).

113323113321231 is a wasteful number, since it uses less digits than its factorization.

113323113321231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37216.

The product of its digits is 5832, while the sum is 30.

Adding to 113323113321231 its reverse (132123311323311), we get a palindrome (245446424644542).

The spelling of 113323113321231 in words is "one hundred thirteen trillion, three hundred twenty-three billion, one hundred thirteen million, three hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 3 11 33 103 309 733 1133 1297 2199 3399 3891 8063 14267 24189 35069 42801 75499 105207 133591 226497 385759 400773 830489 950701 1157277 1469501 2491467 2852103 3612107 4408503 10457711 10836321 25705577 31373133 39733177 45484493 77116731 97922203 119199531 136453479 282761347 293766609 500329423 848284041 1077144233 1500988269 2647674431 3231432699 4684902779 7943023293 14054708337 29124418741 33340133369 51533930569 87373256223 100020400107 154601791707 366741467059 1100224401177 3434033737007 10302101211021 37774371107077 113323113321231