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157785331 = 11210112911
BaseRepresentation
bin10010110011110…
…01110011110011
3101222220022210011
421121321303303
5310343112311
623353515351
73624103354
oct1131716363
9358808704
10157785331
118107a500
1244a12b57
13268c6702
1416d53d2b
15dcbb321
hex9679cf3

157785331 has 12 divisors (see below), whose sum is σ = 175164192. Its totient is φ = 142010000.

The previous prime is 157785323. The next prime is 157785337. The reversal of 157785331 is 133587751.

It is not a de Polignac number, because 157785331 - 23 = 157785323 is a prime.

It is a super-2 number, since 2×1577853312 = 49792421357559122, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (157785337) 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 11 ways as a sum of consecutive naturals, for example, 5766 + ... + 18676.

It is an arithmetic number, because the mean of its divisors is an integer number (14597016).

Almost surely, 2157785331 is an apocalyptic number.

157785331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

157785331 is a deficient number, since it is larger than the sum of its proper divisors (17378861).

157785331 is a wasteful number, since it uses less digits than its factorization.

157785331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13034 (or 13023 counting only the distinct ones).

The product of its digits is 88200, while the sum is 40.

The square root of 157785331 is about 12561.2631132383. The cubic root of 157785331 is about 540.3670698118.

The spelling of 157785331 in words is "one hundred fifty-seven million, seven hundred eighty-five thousand, three hundred thirty-one".

Divisors: 1 11 101 121 1111 12221 12911 142021 1304011 1562231 14344121 157785331