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131393133 = 3219973363
BaseRepresentation
bin1111101010011…
…10011001101101
3100011020110111100
413311032121231
5232114040013
621012113313
73153552234
oct765163155
9304213440
10131393133
1168193673
1238005839
13212b5921
1413643b1b
15b806473
hex7d4e66d

131393133 has 12 divisors (see below), whose sum is σ = 190746400. Its totient is φ = 87154056.

The previous prime is 131393099. The next prime is 131393137. The reversal of 131393133 is 331393131.

It is a happy number.

It is not a de Polignac number, because 131393133 - 29 = 131392621 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131393097 and 131393106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131393137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34891 + ... + 38472.

Almost surely, 2131393133 is an apocalyptic number.

It is an amenable number.

131393133 is a deficient number, since it is larger than the sum of its proper divisors (59353267).

131393133 is a wasteful number, since it uses less digits than its factorization.

131393133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73568 (or 73565 counting only the distinct ones).

The product of its digits is 2187, while the sum is 27.

The square root of 131393133 is about 11462.6843714725. The cubic root of 131393133 is about 508.3828476240.

The spelling of 131393133 in words is "one hundred thirty-one million, three hundred ninety-three thousand, one hundred thirty-three".

Divisors: 1 3 9 199 597 1791 73363 220089 660267 14599237 43797711 131393133