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152382131 = 11472411223
BaseRepresentation
bin10010001010100…
…10101010110011
3101121201210222122
421011102222303
5303002212011
623042024455
73530140526
oct1105225263
9347653878
10152382131
1179019a50
124304812b
1325754255
1416348bbd
15d5a03db
hex9152ab3

152382131 has 16 divisors (see below), whose sum is σ = 170615808. Its totient is φ = 134908800.

The previous prime is 152382127. The next prime is 152382133. The reversal of 152382131 is 131283251.

It is not a de Polignac number, because 152382131 - 22 = 152382127 is a prime.

It is a super-2 number, since 2×1523821312 = 46440627696202322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152382131.

It is not an unprimeable number, because it can be changed into a prime (152382133) 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 15 ways as a sum of consecutive naturals, for example, 123986 + ... + 125208.

It is an arithmetic number, because the mean of its divisors is an integer number (10663488).

Almost surely, 2152382131 is an apocalyptic number.

152382131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152382131 is a deficient number, since it is larger than the sum of its proper divisors (18233677).

152382131 is a wasteful number, since it uses less digits than its factorization.

152382131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522.

The product of its digits is 1440, while the sum is 26.

The square root of 152382131 is about 12344.3157364027. The cubic root of 152382131 is about 534.1271831146.

It can be divided in two parts, 152 and 382131, that added together give a palindrome (382283).

The spelling of 152382131 in words is "one hundred fifty-two million, three hundred eighty-two thousand, one hundred thirty-one".

Divisors: 1 11 47 241 517 1223 2651 11327 13453 57481 124597 294743 632291 3242173 13852921 152382131