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131330925 = 325211471129
BaseRepresentation
bin1111101001111…
…11001101101101
3100011010022011100
413310333031231
5232110042200
621010513313
73153202665
oct764771555
9304108140
10131330925
1168150960
1237b95839
132129350b
14136291a5
15b7e2d00
hex7d3f36d

131330925 has 72 divisors (see below), whose sum is σ = 262304640. Its totient is φ = 62265600.

The previous prime is 131330917. The next prime is 131330929. The reversal of 131330925 is 529033131.

It is a happy number.

It is not a de Polignac number, because 131330925 - 23 = 131330917 is a prime.

It is a super-2 number, since 2×1313309252 = 34495623722711250, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115761 + ... + 116889.

It is an arithmetic number, because the mean of its divisors is an integer number (3643120).

Almost surely, 2131330925 is an apocalyptic number.

131330925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131330925 is a deficient number, since it is larger than the sum of its proper divisors (130973715).

131330925 is a wasteful number, since it uses less digits than its factorization.

With its successor (131330926) it forms an eRAP, since the sums of their prime factors are consecutive (1203 and 1204).

131330925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 131330925 is about 11459.9705497004. The cubic root of 131330925 is about 508.3026037741.

The spelling of 131330925 in words is "one hundred thirty-one million, three hundred thirty thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 47 55 75 99 141 165 225 235 275 423 495 517 705 825 1129 1175 1551 2115 2475 2585 3387 3525 4653 5645 7755 10161 10575 12419 12925 16935 23265 28225 37257 38775 50805 53063 62095 84675 111771 116325 159189 186285 254025 265315 310475 477567 558855 583693 795945 931425 1326575 1751079 2387835 2794275 2918465 3979725 5253237 8755395 11939175 14592325 26266185 43776975 131330925