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131031413422441 = 7214811891805381
BaseRepresentation
bin11101110010110000100000…
…110110011111100101101001
3122011221110222111022220201021
4131302300200312133211221
5114133304313314004231
61142403000023052441
736412464401144500
oct3562604066374551
9564843874286637
10131031413422441
1138829123993374
12128429232a1121
1358162949b3b4c
14244dd50657837
151023663a80811
hex772c20d9f969

131031413422441 has 12 divisors (see below), whose sum is σ = 152424484581060. Its totient is φ = 112312502040480.

The previous prime is 131031413422433. The next prime is 131031413422453. The reversal of 131031413422441 is 144224314130131.

It can be written as a sum of positive squares in 2 ways, for example, as 128072225610000 + 2959187812441 = 11316900^2 + 1720229^2 .

It is not a de Polignac number, because 131031413422441 - 23 = 131031413422433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131031413422397 and 131031413422406.

It is not an unprimeable number, because it can be changed into a prime (131031413422241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71675571 + ... + 73480951.

It is an arithmetic number, because the mean of its divisors is an integer number (12702040381755).

Almost surely, 2131031413422441 is an apocalyptic number.

It is an amenable number.

131031413422441 is a deficient number, since it is larger than the sum of its proper divisors (21393071158619).

131031413422441 is a wasteful number, since it uses less digits than its factorization.

131031413422441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286584 (or 3286577 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 131031413422441 its reverse (144224314130131), we get a palindrome (275255727552572).

The spelling of 131031413422441 in words is "one hundred thirty-one trillion, thirty-one billion, four hundred thirteen million, four hundred twenty-two thousand, four hundred forty-one".

Divisors: 1 7 49 1481189 1805381 10368323 12637667 72578261 88463669 2674110478009 18718773346063 131031413422441