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123202961 = 7173113329
BaseRepresentation
bin1110101011111…
…10110110010001
322120211100200122
413111332312101
5223014443321
620120400025
73024131210
oct725766621
9276740618
10123202961
11635aa232
1235316015
131c6a8a7b
1412511077
15ac398ab
hex757ed91

123202961 has 16 divisors (see below), whose sum is σ = 149610240. Its totient is φ = 99041280.

The previous prime is 123202943. The next prime is 123202993. The reversal of 123202961 is 169202321.

It is a cyclic number.

It is not a de Polignac number, because 123202961 - 222 = 119008657 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123202961.

It is not an unprimeable number, because it can be changed into a prime (123202361) 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, 35345 + ... + 38673.

It is an arithmetic number, because the mean of its divisors is an integer number (9350640).

Almost surely, 2123202961 is an apocalyptic number.

It is an amenable number.

123202961 is a deficient number, since it is larger than the sum of its proper divisors (26407279).

123202961 is a wasteful number, since it uses less digits than its factorization.

123202961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 123202961 is about 11099.6829233992. The cubic root of 123202961 is about 497.5923732754.

The spelling of 123202961 in words is "one hundred twenty-three million, two hundred two thousand, nine hundred sixty-one".

Divisors: 1 7 17 119 311 2177 3329 5287 23303 37009 56593 396151 1035319 7247233 17600423 123202961