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131378319 = 3273199967
BaseRepresentation
bin1111101010010…
…10110010001111
3100011012201011200
413311022302033
5232113101234
621011520543
73153461112
oct765126217
9304181150
10131378319
1168183526
1237bb9153
13212abc67
141363c579
15b801d99
hex7d4ac8f

131378319 has 12 divisors (see below), whose sum is σ = 192369216. Its totient is φ = 86385312.

The previous prime is 131378311. The next prime is 131378321. The reversal of 131378319 is 913873131.

It is not a de Polignac number, because 131378319 - 23 = 131378311 is a prime.

It is a super-2 number, since 2×1313783192 = 34520525406531522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131378311) 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, 99327 + ... + 100640.

It is an arithmetic number, because the mean of its divisors is an integer number (16030768).

Almost surely, 2131378319 is an apocalyptic number.

131378319 is a deficient number, since it is larger than the sum of its proper divisors (60990897).

131378319 is a wasteful number, since it uses less digits than its factorization.

131378319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200046 (or 200043 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 131378319 is about 11462.0381695404. The cubic root of 131378319 is about 508.3637409264.

The spelling of 131378319 in words is "one hundred thirty-one million, three hundred seventy-eight thousand, three hundred nineteen".

Divisors: 1 3 9 73 219 657 199967 599901 1799703 14597591 43792773 131378319