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131141111213431 = 1139718330016187
BaseRepresentation
bin11101110100010110101011…
…010110010110110101110111
3122012022222010112002002021001
4131310112223112112311313
5114142103443432312211
61142525221135304131
736423426663035224
oct3564265326266567
9565288115062231
10131141111213431
11388706a6490370
121286003897b047
1358237276bb647
14245539965094b
15102643437eac1
hex7745ab596d77

131141111213431 has 8 divisors (see below), whose sum is σ = 143063395375104. Its totient is φ = 119218887878520.

The previous prime is 131141111213383. The next prime is 131141111213473. The reversal of 131141111213431 is 134312111141131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131141111213431 - 213 = 131141111205239 is a prime.

It is a super-2 number, since 2×1311411112134312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131141111213431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141111213831) 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 7 ways as a sum of consecutive naturals, for example, 10639081 + ... + 19377106.

It is an arithmetic number, because the mean of its divisors is an integer number (17882924421888).

Almost surely, 2131141111213431 is an apocalyptic number.

131141111213431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131141111213431 is a deficient number, since it is larger than the sum of its proper divisors (11922284161673).

131141111213431 is a wasteful number, since it uses less digits than its factorization.

131141111213431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30413381.

The product of its digits is 864, while the sum is 28.

Adding to 131141111213431 its reverse (134312111141131), we get a palindrome (265453222354562).

The spelling of 131141111213431 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred eleven million, two hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 11 397183 4369013 30016187 330178057 11921919201221 131141111213431