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131252427 = 3317285953
BaseRepresentation
bin1111101001011…
…00000011001011
3100010222022111000
413310230003023
5232100034202
621005110043
73152425065
oct764540313
9303868430
10131252427
11680a7989
1237b58323
1321266877
1413608735
15b7c991c
hex7d2c0cb

131252427 has 16 divisors (see below), whose sum is σ = 205886880. Its totient is φ = 82354176.

The previous prime is 131252413. The next prime is 131252441. The reversal of 131252427 is 724252131.

131252427 is a `hidden beast` number, since 131 + 2 + 524 + 2 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (131252413) and next prime (131252441).

It is not a de Polignac number, because 131252427 - 24 = 131252411 is a prime.

It is a super-3 number, since 3×1312524273 (a number of 25 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131252427.

It is not an unprimeable number, because it can be changed into a prime (131252447) 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, 142518 + ... + 143435.

It is an arithmetic number, because the mean of its divisors is an integer number (12867930).

Almost surely, 2131252427 is an apocalyptic number.

131252427 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

131252427 is a deficient number, since it is larger than the sum of its proper divisors (74634453).

131252427 is a wasteful number, since it uses less digits than its factorization.

131252427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285979 (or 285973 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 131252427 is about 11456.5451598639. The cubic root of 131252427 is about 508.2013108249.

The spelling of 131252427 in words is "one hundred thirty-one million, two hundred fifty-two thousand, four hundred twenty-seven".

Divisors: 1 3 9 17 27 51 153 459 285953 857859 2573577 4861201 7720731 14583603 43750809 131252427