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152201357 = 71117116273
BaseRepresentation
bin10010001001001…
…10100010001101
3101121101122000022
421010212202031
5302430420412
623034111525
73525455510
oct1104464215
9347348008
10152201357
1178a06150
1242b7b5a5
13256bcb99
14162dcd77
15d566a72
hex912688d

152201357 has 16 divisors (see below), whose sum is σ = 200921472. Its totient is φ = 111621120.

The previous prime is 152201353. The next prime is 152201363. The reversal of 152201357 is 753102251.

It is a cyclic number.

It is not a de Polignac number, because 152201357 - 22 = 152201353 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152201353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56828 + ... + 59445.

It is an arithmetic number, because the mean of its divisors is an integer number (12557592).

Almost surely, 2152201357 is an apocalyptic number.

152201357 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

152201357 is a deficient number, since it is larger than the sum of its proper divisors (48720115).

152201357 is a wasteful number, since it uses less digits than its factorization.

152201357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116308.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 152201357 is about 12336.9914079568. The cubic root of 152201357 is about 533.9158842478.

The spelling of 152201357 in words is "one hundred fifty-two million, two hundred one thousand, three hundred fifty-seven".

Divisors: 1 7 11 17 77 119 187 1309 116273 813911 1279003 1976641 8953021 13836487 21743051 152201357