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131265252 = 22332941911
BaseRepresentation
bin1111101001011…
…11001011100100
3100010222222002000
413310233023210
5232100442002
621005245300
73152510346
oct764571344
9303888060
10131265252
1168106588
1237b63830
132126c661
141360d296
15b7cd61c
hex7d2f2e4

131265252 has 48 divisors (see below), whose sum is σ = 352060800. Its totient is φ = 42245280.

The previous prime is 131265241. The next prime is 131265263. The reversal of 131265252 is 252562131.

It is a happy number.

131265252 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 652 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (131265241) and next prime (131265263).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17824 + ... + 24087.

It is an arithmetic number, because the mean of its divisors is an integer number (7334600).

Almost surely, 2131265252 is an apocalyptic number.

131265252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131265252 is an abundant number, since it is smaller than the sum of its proper divisors (220795548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131265252 is a wasteful number, since it uses less digits than its factorization.

131265252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41953 (or 41945 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 131265252 is about 11457.1048699050. The cubic root of 131265252 is about 508.2178628224.

It can be divided in two parts, 1312 and 65252, that added together give a square (66564 = 2582).

The spelling of 131265252 in words is "one hundred thirty-one million, two hundred sixty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 41911 83822 125733 167644 251466 377199 502932 754398 1131597 1215419 1508796 2263194 2430838 3646257 4526388 4861676 7292514 10938771 14585028 21877542 32816313 43755084 65632626 131265252