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131141401431001 = 1331749696404249
BaseRepresentation
bin11101110100010110111100…
…101001011100101111011001
3122012022222212202011122220221
4131310112330221130233121
5114142110042231243001
61142525310023520041
736423440115612463
oct3564267451345731
9565288782148827
10131141401431001
11388708352930a5
12128600b9bb9021
135823772872910
1424553c5dd9133
15102644eaaa1a1
hex7745bca5cbd9

131141401431001 has 16 divisors (see below), whose sum is σ = 141703253370000. Its totient is φ = 120647425010688.

The previous prime is 131141401430989. The next prime is 131141401431011. The reversal of 131141401431001 is 100134104141131.

It can be written as a sum of positive squares in 8 ways, for example, as 56432622987225 + 74708778443776 = 7512165^2 + 8643424^2 .

It is a cyclic number.

It is not a de Polignac number, because 131141401431001 - 29 = 131141401430489 is a prime.

It is a super-2 number, since 2×1311414014310012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131141401431011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17275125 + ... + 23679373.

It is an arithmetic number, because the mean of its divisors is an integer number (8856453335625).

Almost surely, 2131141401431001 is an apocalyptic number.

It is an amenable number.

131141401431001 is a deficient number, since it is larger than the sum of its proper divisors (10561851938999).

131141401431001 is a wasteful number, since it uses less digits than its factorization.

131141401431001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409548.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 131141401431001 its reverse (100134104141131), we get a palindrome (231275505572132).

The spelling of 131141401431001 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred one million, four hundred thirty-one thousand, one".

Divisors: 1 13 317 4121 4969 64597 1575173 6404249 20477249 83255237 2030146933 26391910129 31822713281 413695272653 10087800110077 131141401431001