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131257017 = 3417199479
BaseRepresentation
bin1111101001011…
…01001010111001
3100010222112210000
413310231022321
5232100211032
621005143213
73152444343
oct764551271
9303875700
10131257017
1168100381
1237b5ab09
1321268998
141360a293
15b7cae7c
hex7d2d2b9

131257017 has 40 divisors (see below), whose sum is σ = 209088000. Its totient is φ = 81772416.

The previous prime is 131257013. The next prime is 131257039. The reversal of 131257017 is 710752131.

It is a happy number.

It is not a de Polignac number, because 131257017 - 22 = 131257013 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 (131257013) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 273784 + ... + 274262.

It is an arithmetic number, because the mean of its divisors is an integer number (5227200).

Almost surely, 2131257017 is an apocalyptic number.

131257017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

131257017 is a deficient number, since it is larger than the sum of its proper divisors (77830983).

131257017 is a wasteful number, since it uses less digits than its factorization.

131257017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 131257017 is about 11456.7454802837. The cubic root of 131257017 is about 508.2072348216.

The spelling of 131257017 in words is "one hundred thirty-one million, two hundred fifty-seven thousand, seventeen".

Divisors: 1 3 9 17 27 51 81 153 199 459 479 597 1377 1437 1791 3383 4311 5373 8143 10149 12933 16119 24429 30447 38799 73287 91341 95321 219861 274023 285963 659583 857889 1620457 2573667 4861371 7721001 14584113 43752339 131257017