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113023502053231 = 72116723091355443
BaseRepresentation
bin11001101100101101010101…
…101100001110111101101111
3112211011221102012002001201011
4121230231111230032331233
5104303234113011200411
61040214140253530051
732543451513111400
oct3154552554167557
9484157365061634
10113023502053231
1133015aa8435360
12108148661a3927
134b0b0bbbb4023
141dca51c2939a7
15d10002387c21
hex66cb55b0ef6f

113023502053231 has 48 divisors (see below), whose sum is σ = 145632590167680. Its totient is φ = 86718142969920.

The previous prime is 113023502053213. The next prime is 113023502053303. The reversal of 113023502053231 is 132350205320311.

It is not a de Polignac number, because 113023502053231 - 29 = 113023502052719 is a prime.

It is a super-2 number, since 2×1130235020532312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113023502053193 and 113023502053202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113023502033231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82707196 + ... + 84062638.

It is an arithmetic number, because the mean of its divisors is an integer number (3034012295160).

Almost surely, 2113023502053231 is an apocalyptic number.

113023502053231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113023502053231 is a deficient number, since it is larger than the sum of its proper divisors (32609088114449).

113023502053231 is a wasteful number, since it uses less digits than its factorization.

113023502053231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357844 (or 1357837 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 113023502053231 its reverse (132350205320311), we get a palindrome (245373707373542).

The spelling of 113023502053231 in words is "one hundred thirteen trillion, twenty-three billion, five hundred two million, fifty-three thousand, two hundred thirty-one".

Divisors: 1 7 11 49 67 77 469 539 737 2309 3283 5159 16163 25399 36113 113141 154703 177793 1082921 1244551 1355443 1701733 7580447 9488101 11912131 14909873 66416707 83384917 90814681 104369111 635702767 730583777 998961491 3129717887 4449919369 6992730437 21908025209 34426896757 48949113059 153356176463 209691098429 240988277299 1467837689003 1686917941093 2306602082719 10274863823021 16146214579033 113023502053231