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131237093 = 13172920477
BaseRepresentation
bin1111101001010…
…00010011100101
3100010221112110002
413310220103211
5232044041333
621004511045
73152332301
oct764502345
9303845402
10131237093
1168097409
1237b4b485
132125c8b0
1413602d01
15b7c50e8
hex7d284e5

131237093 has 16 divisors (see below), whose sum is σ = 154813680. Its totient is φ = 110078976.

The previous prime is 131237089. The next prime is 131237111. The reversal of 131237093 is 390732131.

It can be written as a sum of positive squares in 8 ways, for example, as 1800964 + 129436129 = 1342^2 + 11377^2 .

It is a cyclic number.

It is not a de Polignac number, because 131237093 - 22 = 131237089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131237003) 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, 3830 + ... + 16647.

It is an arithmetic number, because the mean of its divisors is an integer number (9675855).

Almost surely, 2131237093 is an apocalyptic number.

131237093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131237093 is a deficient number, since it is larger than the sum of its proper divisors (23576587).

131237093 is a wasteful number, since it uses less digits than its factorization.

131237093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20536.

The product of its (nonzero) digits is 3402, while the sum is 29.

The square root of 131237093 is about 11455.8759158783. The cubic root of 131237093 is about 508.1815192864.

The spelling of 131237093 in words is "one hundred thirty-one million, two hundred thirty-seven thousand, ninety-three".

Divisors: 1 13 17 29 221 377 493 6409 20477 266201 348109 593833 4525417 7719829 10095161 131237093