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23113111131132 = 22311296037907819
BaseRepresentation
bin1010100000101011100001…
…10001110101001111111100
310000211120222110021121001220
411100111300301311033330
511012141122422144012
6121054003333433340
74603603304024421
oct520256061651774
9100746873247056
1023113111131132
117401240748780
12271358619b850
13cb8731a35219
1459c9755cbd48
152a13598b908c
hex150570c753fc

23113111131132 has 48 divisors (see below), whose sum is σ = 60862110825600. Its totient is φ = 6762456756160.

The previous prime is 23113111131127. The next prime is 23113111131151.

23113111131132 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3018950082 + ... + 3018957737.

It is an arithmetic number, because the mean of its divisors is an integer number (1267960642200).

Almost surely, 223113111131132 is an apocalyptic number.

23113111131132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23113111131132 is an abundant number, since it is smaller than the sum of its proper divisors (37748999694468).

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

23113111131132 is a wasteful number, since it uses less digits than its factorization.

23113111131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6037907866 (or 6037907864 counting only the distinct ones).

The product of its digits is 324, while the sum is 24.

It can be divided in two parts, 2311311 and 1131132, that added together give a palindrome (3442443).

The spelling of 23113111131132 in words is "twenty-three trillion, one hundred thirteen billion, one hundred eleven million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 6037907819 12075815638 18113723457 24151631276 36227446914 66416986009 72454893828 132833972018 175099326751 199250958027 265667944036 350198653502 398501916054 525297980253 700397307004 797003832108 1050595960506 1926092594261 2101191921012 3852185188522 5778277782783 7704370377044 11556555565566 23113111131132