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131113593 = 331323109149
BaseRepresentation
bin1111101000010…
…10001001111001
3100010201021001000
413310022021321
5232031113333
621002115213
73151306242
oct764121171
9303637030
10131113593
1168012646
1237aabb09
1321218610
14135adcc9
15b79d713
hex7d0a279

131113593 has 64 divisors (see below), whose sum is σ = 221760000. Its totient is φ = 75955968.

The previous prime is 131113589. The next prime is 131113637. The reversal of 131113593 is 395311131.

It is not a de Polignac number, because 131113593 - 22 = 131113589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131113093) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 879883 + ... + 880031.

It is an arithmetic number, because the mean of its divisors is an integer number (3465000).

Almost surely, 2131113593 is an apocalyptic number.

131113593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131113593 is a deficient number, since it is larger than the sum of its proper divisors (90646407).

131113593 is a wasteful number, since it uses less digits than its factorization.

131113593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its digits is 1215, while the sum is 27.

The square root of 131113593 is about 11450.4844002339. The cubic root of 131113593 is about 508.0220620443.

The spelling of 131113593 in words is "one hundred thirty-one million, one hundred thirteen thousand, five hundred ninety-three".

Divisors: 1 3 9 13 23 27 39 69 109 117 149 207 299 327 351 447 621 897 981 1341 1417 1937 2507 2691 2943 3427 4023 4251 5811 7521 8073 10281 12753 16241 17433 22563 30843 32591 38259 44551 48723 52299 67689 92529 97773 133653 146169 211133 293319 373543 400959 438507 633399 879957 1120629 1202877 1900197 3361887 4856059 5700591 10085661 14568177 43704531 131113593