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131938813127 = 11173283324473
BaseRepresentation
bin111101011100000101…
…0101000010011000111
3110121120001011011020102
41322320022220103013
54130202314010002
6140340054354315
712350365256522
oct1727012502307
9417501134212
10131938813127
1150a56025130
12216a205b99b
13c598777934
146558b97bb9
15367318ba02
hex1eb82a84c7

131938813127 has 16 divisors (see below), whose sum is σ = 144822251808. Its totient is φ = 119204090880.

The previous prime is 131938813103. The next prime is 131938813213. The reversal of 131938813127 is 721318839131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131938813127 - 236 = 63219336391 is a prime.

It is a super-2 number, since 2×1319388131272 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131938813327) 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, 5378963 + ... + 5403435.

It is an arithmetic number, because the mean of its divisors is an integer number (9051390738).

Almost surely, 2131938813127 is an apocalyptic number.

131938813127 is a deficient number, since it is larger than the sum of its proper divisors (12883438681).

131938813127 is a wasteful number, since it uses less digits than its factorization.

131938813127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27490.

The product of its digits is 217728, while the sum is 47.

The spelling of 131938813127 in words is "one hundred thirty-one billion, nine hundred thirty-eight million, eight hundred thirteen thousand, one hundred twenty-seven".

Divisors: 1 11 173 1903 2833 24473 31163 269203 490109 4233829 5391199 46572119 69332009 762652099 11994437557 131938813127