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122908961 = 753615431
BaseRepresentation
bin1110101001101…
…11000100100001
322120021102101202
413110313010201
5222431041321
620110210545
73021465110
oct724670441
9276242352
10122908961
116341935a
12351b3a55
131c604cc6
1412475c77
15abcc70b
hex7537121

122908961 has 16 divisors (see below), whose sum is σ = 145490688. Its totient is φ = 101649600.

The previous prime is 122908957. The next prime is 122908979. The reversal of 122908961 is 169809221.

It is a cyclic number.

It is not a de Polignac number, because 122908961 - 22 = 122908957 is a prime.

It is a super-2 number, since 2×1229089612 = 30213225388199042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122905961) 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, 19916 + ... + 25346.

It is an arithmetic number, because the mean of its divisors is an integer number (9093168).

Almost surely, 2122908961 is an apocalyptic number.

It is an amenable number.

122908961 is a deficient number, since it is larger than the sum of its proper divisors (22581727).

122908961 is an equidigital number, since it uses as much as digits as its factorization.

122908961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552.

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 122908961 is about 11086.4313915705. The cubic root of 122908961 is about 497.1962554196.

The spelling of 122908961 in words is "one hundred twenty-two million, nine hundred eight thousand, nine hundred sixty-one".

Divisors: 1 7 53 61 371 427 3233 5431 22631 38017 287843 331291 2014901 2319037 17558423 122908961