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113234434313 = 711131011278819
BaseRepresentation
bin110100101110101001…
…1000101100100001001
3101211021111120021010112
41221131103011210021
53323401003344223
6124004050524105
711116024545050
oct1513523054411
9354244507115
10113234434313
1144027982520
1219b41b96635
13a8a7633b70
1456a29b3397
152e2b048778
hex1a5d4c5909

113234434313 has 64 divisors (see below), whose sum is σ = 154766868480. Its totient is φ = 79996896000.

The previous prime is 113234434307. The next prime is 113234434321. The reversal of 113234434313 is 313434432311.

It is a happy number.

It is not a de Polignac number, because 113234434313 - 26 = 113234434249 is a prime.

It is a super-2 number, since 2×1132344343132 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113234434313.

It is not an unprimeable number, because it can be changed into a prime (113234434373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12835418 + ... + 12844236.

It is an arithmetic number, because the mean of its divisors is an integer number (2418232320).

Almost surely, 2113234434313 is an apocalyptic number.

113234434313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113234434313 is a deficient number, since it is larger than the sum of its proper divisors (41532434167).

113234434313 is a wasteful number, since it uses less digits than its factorization.

113234434313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9078.

The product of its digits is 31104, while the sum is 32.

Adding to 113234434313 its reverse (313434432311), we get a palindrome (426668866624).

The spelling of 113234434313 in words is "one hundred thirteen billion, two hundred thirty-four million, four hundred thirty-four thousand, three hundred thirteen".

Divisors: 1 7 11 13 77 91 101 127 143 707 889 1001 1111 1313 1397 1651 7777 8819 9191 9779 11557 12827 14443 18161 61733 89789 97009 101101 114647 127127 141097 166751 679063 802529 890719 987679 1120013 1167257 1261117 1834261 6235033 7840091 8827819 9797909 11579347 12320143 12839827 14560169 68585363 81055429 86241001 101921183 113121313 127372817 160161859 791849191 891609719 1121133013 1244334443 1470577069 8710341101 10294039483 16176347759 113234434313