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131102411041 = 7253257196429
BaseRepresentation
bin111101000011001010…
…0000000100100100001
3110112101202022112021101
41322012110000210201
54121444204123131
6140121055354401
712320561051500
oct1720624004441
9415352275241
10131102411041
1150666990938
12214a9b22a01
13c4943baa64
1464b9a74837
153624a23c61
hex1e86500921

131102411041 has 24 divisors (see below), whose sum is σ = 155989777320. Its totient is φ = 109823680512.

The previous prime is 131102411029. The next prime is 131102411093. The reversal of 131102411041 is 140114201131.

It can be written as a sum of positive squares in 4 ways, for example, as 64122900625 + 66979510416 = 253225^2 + 258804^2 .

It is not a de Polignac number, because 131102411041 - 25 = 131102411009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131102414041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 569215 + ... + 765643.

It is an arithmetic number, because the mean of its divisors is an integer number (6499574055).

Almost surely, 2131102411041 is an apocalyptic number.

It is an amenable number.

131102411041 is a deficient number, since it is larger than the sum of its proper divisors (24887366279).

131102411041 is a wasteful number, since it uses less digits than its factorization.

131102411041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196753 (or 196746 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 131102411041 its reverse (140114201131), we get a palindrome (271216612172).

The spelling of 131102411041 in words is "one hundred thirty-one billion, one hundred two million, four hundred eleven thousand, forty-one".

Divisors: 1 7 49 53 257 371 1799 2597 12593 13621 95347 196429 667429 1375003 9625021 10410737 50482253 72875159 353375771 510126113 2473630397 2675559409 18728915863 131102411041