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131142411021012 = 22353722232855029
BaseRepresentation
bin11101110100010111111000…
…110100101110101011010100
3122012100002111002220011001120
4131310113320310232223110
5114142114124210133022
61142525554130523540
736423504125154546
oct3564277064565324
9565302432804046
10131142411021012
1138871203167006
12128603401365b0
1358238a3a89b61
142455480121696
1510264ad532d5c
hex7745f8d2ead4

131142411021012 has 48 divisors (see below), whose sum is σ = 311776950320640. Its totient is φ = 42888733100928.

The previous prime is 131142411021007. The next prime is 131142411021029. The reversal of 131142411021012 is 210120114241131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44506314 + ... + 47361342.

It is an arithmetic number, because the mean of its divisors is an integer number (6495353131680).

Almost surely, 2131142411021012 is an apocalyptic number.

131142411021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131142411021012 is an abundant number, since it is smaller than the sum of its proper divisors (180634539299628).

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

131142411021012 is a wasteful number, since it uses less digits than its factorization.

131142411021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927312 (or 2927310 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 131142411021012 its reverse (210120114241131), we get a palindrome (341262525262143).

The spelling of 131142411021012 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred eleven million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 72223 144446 216669 288892 433338 866676 2855029 3827819 5710058 7655638 8565087 11420116 11483457 15311276 17130174 22966914 34260348 45933828 151316537 302633074 453949611 605266148 907899222 1815798444 206198759467 412397518934 618596278401 824795037868 1237192556802 2474385113604 10928534251751 21857068503502 32785602755253 43714137007004 65571205510506 131142411021012