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131377363 = 1388111471
BaseRepresentation
bin1111101010010…
…10100011010011
3100011012122212021
413311022203103
5232113033423
621011512311
73153455245
oct765124323
9304178767
10131377363
1168182837
1237bb8697
13212ab6b0
141363c095
15b80195d
hex7d4a8d3

131377363 has 8 divisors (see below), whose sum is σ = 141656256. Its totient is φ = 121123200.

The previous prime is 131377339. The next prime is 131377387. The reversal of 131377363 is 363773131.

It is an interprime number because it is at equal distance from previous prime (131377339) and next prime (131377387).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131377363 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131377313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5718 + ... + 17188.

It is an arithmetic number, because the mean of its divisors is an integer number (17707032).

Almost surely, 2131377363 is an apocalyptic number.

131377363 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131377363 is a deficient number, since it is larger than the sum of its proper divisors (10278893).

131377363 is a wasteful number, since it uses less digits than its factorization.

131377363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12365.

The product of its digits is 23814, while the sum is 34.

The square root of 131377363 is about 11461.9964665847. The cubic root of 131377363 is about 508.3625078541.

The spelling of 131377363 in words is "one hundred thirty-one million, three hundred seventy-seven thousand, three hundred sixty-three".

Divisors: 1 13 881 11453 11471 149123 10105951 131377363