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131155252311104 = 267292757259623
BaseRepresentation
bin11101110100100011110110…
…001110010111010001000000
3122012101022122001001021110022
4131310203312032113101000
5114142321424042423404
61142535520252153012
736424440263265230
oct3564436616272100
9565338561037408
10131155252311104
11388766a27a034a
1212862924768768
135824b6c300368
142455d3b775cc0
1510269b0a848be
hex7748f6397440

131155252311104 has 28 divisors (see below), whose sum is σ = 297441375777984. Its totient is φ = 56209393847424.

The previous prime is 131155252311103. The next prime is 131155252311119. The reversal of 131155252311104 is 401113252551131.

131155252311104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×1311552523111042 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131155252311101) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 146378629364 + ... + 146378630259.

Almost surely, 2131155252311104 is an apocalyptic number.

131155252311104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131155252311104 is an abundant number, since it is smaller than the sum of its proper divisors (166286123466880).

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

131155252311104 is an equidigital number, since it uses as much as digits as its factorization.

131155252311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292757259642 (or 292757259632 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 35.

The spelling of 131155252311104 in words is "one hundred thirty-one trillion, one hundred fifty-five billion, two hundred fifty-two million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 292757259623 585514519246 1171029038492 2049300817361 2342058076984 4098601634722 4684116153968 8197203269444 9368232307936 16394406538888 18736464615872 32788813077776 65577626155552 131155252311104