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152332131 = 373317467
BaseRepresentation
bin10010001010001…
…10011101100011
3101121122021101210
421011012131203
5302444112011
623041001203
73526542000
oct1105063543
9347567353
10152332131
1178a95426
1243023203
1325737573
14163348a7
15d5906a6
hex9146763

152332131 has 32 divisors (see below), whose sum is σ = 238118400. Its totient is φ = 86586528.

The previous prime is 152332073. The next prime is 152332163. The reversal of 152332131 is 131233251.

It is not a de Polignac number, because 152332131 - 210 = 152331107 is a prime.

It is a super-2 number, since 2×1523321312 = 46410156270002322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 152332098 and 152332107.

It is not an unprimeable number, because it can be changed into a prime (152332181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325960 + ... + 326426.

It is an arithmetic number, because the mean of its divisors is an integer number (7441200).

Almost surely, 2152332131 is an apocalyptic number.

152332131 is a deficient number, since it is larger than the sum of its proper divisors (85786269).

152332131 is an equidigital number, since it uses as much as digits as its factorization.

152332131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 794 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 152332131 is about 12342.2903466091. The cubic root of 152332131 is about 534.0687570151.

Adding to 152332131 its reverse (131233251), we get a palindrome (283565382).

The spelling of 152332131 in words is "one hundred fifty-two million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 49 147 317 343 467 951 1029 1401 2219 3269 6657 9807 15533 22883 46599 68649 108731 148039 160181 326193 444117 480543 1036273 3108819 7253911 21761733 50777377 152332131