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122102789 = 17329857
BaseRepresentation
bin1110100011100…
…10010000000101
322111202110112112
413101302100011
5222224242124
620041030405
73011566544
oct721622005
9274673475
10122102789
1162a186a6
1234a85405
131c3b2093
141230615b
15aabd90e
hex7472405

122102789 has 16 divisors (see below), whose sum is σ = 134362800. Its totient is φ = 110828032.

The previous prime is 122102779. The next prime is 122102807. The reversal of 122102789 is 987201221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11957764 + 110145025 = 3458^2 + 10495^2 .

It is a de Polignac number, because none of the positive numbers 2k-122102789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102719) 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, 142049 + ... + 142905.

It is an arithmetic number, because the mean of its divisors is an integer number (8397675).

Almost surely, 2122102789 is an apocalyptic number.

It is an amenable number.

122102789 is a deficient number, since it is larger than the sum of its proper divisors (12260011).

122102789 is an frugal number, since it uses more digits than its factorization.

122102789 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 122102789 is about 11050.0130769153. The cubic root of 122102789 is about 496.1068169291.

The spelling of 122102789 in words is "one hundred twenty-two million, one hundred two thousand, seven hundred eighty-nine".

Divisors: 1 17 29 289 493 857 4913 8381 14569 24853 142477 247673 422501 4210441 7182517 122102789