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131012532 = 22337173297
BaseRepresentation
bin1111100111100…
…01011110110100
3100010112010102000
413303301132310
5232014400112
621000015300
73150405510
oct763613664
9303463360
10131012532
1167a53722
1237a61530
13211b1611
1413585140
15b77d7dc
hex7cf17b4

131012532 has 48 divisors (see below), whose sum is σ = 388187520. Its totient is φ = 37431936.

The previous prime is 131012521. The next prime is 131012533. The reversal of 131012532 is 235210131.

131012532 is a `hidden beast` number, since 131 + 0 + 1 + 2 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85893 + ... + 87404.

It is an arithmetic number, because the mean of its divisors is an integer number (8087240).

Almost surely, 2131012532 is an apocalyptic number.

131012532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131012532 is an abundant number, since it is smaller than the sum of its proper divisors (257174988).

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

131012532 is a wasteful number, since it uses less digits than its factorization.

131012532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173317 (or 173309 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131012532 is about 11446.0705921290. The cubic root of 131012532 is about 507.8915024454.

Adding to 131012532 its reverse (235210131), we get a palindrome (366222663).

The spelling of 131012532 in words is "one hundred thirty-one million, twelve thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 173297 346594 519891 693188 1039782 1213079 1559673 2079564 2426158 3119346 3639237 4679019 4852316 6238692 7278474 9358038 10917711 14556948 18716076 21835422 32753133 43670844 65506266 131012532