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122880917 = 29137157197
BaseRepresentation
bin1110101001100…
…00001110010101
322120012222221002
413110300032111
5222424142132
620105433045
73021320255
oct724601625
9276188832
10122880917
11633aa285
123519b785
131c5c5303
1412469965
15abc4262
hex7530395

122880917 has 16 divisors (see below), whose sum is σ = 129515760. Its totient is φ = 116433408.

The previous prime is 122880899. The next prime is 122880937. The reversal of 122880917 is 719088221.

It can be written as a sum of positive squares in 8 ways, for example, as 8797156 + 114083761 = 2966^2 + 10681^2 .

It is a cyclic number.

It is not a de Polignac number, because 122880917 - 28 = 122880661 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 (122880937) 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, 623663 + ... + 623859.

It is an arithmetic number, because the mean of its divisors is an integer number (8094735).

Almost surely, 2122880917 is an apocalyptic number.

It is an amenable number.

122880917 is a deficient number, since it is larger than the sum of its proper divisors (6634843).

122880917 is a wasteful number, since it uses less digits than its factorization.

122880917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520.

The product of its (nonzero) digits is 16128, while the sum is 38.

The square root of 122880917 is about 11085.1665300978. The cubic root of 122880917 is about 497.1584376389.

The spelling of 122880917 in words is "one hundred twenty-two million, eight hundred eighty thousand, nine hundred seventeen".

Divisors: 1 29 137 157 197 3973 4553 5713 21509 26989 30929 623761 782681 896941 4237273 122880917