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131044404132 = 223223091576493
BaseRepresentation
bin111101000001011011…
…0101110101110100100
3110112020201011110202100
41322002312232232210
54121334331413012
6140111224212100
712316255025235
oct1720266565644
9415221143670
10131044404132
1150637171444
122149260a030
13c48538b045
1464b209508c
15361e8b68dc
hex1e82daeba4

131044404132 has 36 divisors (see below), whose sum is σ = 331394803740. Its totient is φ = 43662522432.

The previous prime is 131044404077. The next prime is 131044404149. The reversal of 131044404132 is 231404440131.

It can be written as a sum of positive squares in 2 ways, for example, as 71237745216 + 59806658916 = 266904^2 + 244554^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 131044404096 and 131044404105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705123 + ... + 871370.

It is an arithmetic number, because the mean of its divisors is an integer number (9205411215).

Almost surely, 2131044404132 is an apocalyptic number.

131044404132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131044404132 is an abundant number, since it is smaller than the sum of its proper divisors (200350399608).

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

131044404132 is a wasteful number, since it uses less digits than its factorization.

131044404132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578812 (or 1578807 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 131044404132 its reverse (231404440131), we get a palindrome (362448844263).

The spelling of 131044404132 in words is "one hundred thirty-one billion, forty-four million, four hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2309 4618 6927 9236 13854 20781 27708 41562 83124 1576493 3152986 4729479 6305972 9458958 14188437 18917916 28376874 56753748 3640122337 7280244674 10920367011 14560489348 21840734022 32761101033 43681468044 65522202066 131044404132