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131141111213021 = 72132003411027613
BaseRepresentation
bin11101110100010110101011…
…010110010110101111011101
3122012022222010112002001200212
4131310112223112112233131
5114142103443432304041
61142525221135302205
736423426663034100
oct3564265326265735
9565288115061625
10131141111213021
11388706a6490028
121286003897a965
1358237276bb3c0
142455399650737
15102643437e8eb
hex7745ab596bdd

131141111213021 has 24 divisors (see below), whose sum is σ = 164287646702424. Its totient is φ = 103759381192320.

The previous prime is 131141111213009. The next prime is 131141111213071. The reversal of 131141111213021 is 120312111141131.

It can be written as a sum of positive squares in 4 ways, for example, as 9485968804900 + 121655142408121 = 3079930^2 + 11029739^2 .

It is not a de Polignac number, because 131141111213021 - 214 = 131141111196637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141111213071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127103411 + ... + 128131023.

It is an arithmetic number, because the mean of its divisors is an integer number (6845318612601).

Almost surely, 2131141111213021 is an apocalyptic number.

It is an amenable number.

131141111213021 is a deficient number, since it is larger than the sum of its proper divisors (33146535489403).

131141111213021 is a wasteful number, since it uses less digits than its factorization.

131141111213021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227981 (or 1227974 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 23.

Adding to 131141111213021 its reverse (120312111141131), we get a palindrome (251453222354152).

The spelling of 131141111213021 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred eleven million, two hundred thirteen thousand, twenty-one".

Divisors: 1 7 13 49 91 637 200341 1027613 1402387 2604433 7193291 9816709 13358969 18231031 50353037 93512783 127617217 654589481 205873016033 1441111112231 2676349208429 10087777785617 18734444459003 131141111213021