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122102209 = 2973137421
BaseRepresentation
bin1110100011100…
…10000111000001
322111202102202001
413101302013001
5222224232314
620041024001
73011565055
oct721620701
9274672661
10122102209
1162a18219
1234a85001
131c3b1a38
1412305c65
15aabd674
hex74721c1

122102209 has 16 divisors (see below), whose sum is σ = 129283920. Its totient is φ = 115153920.

The previous prime is 122102203. The next prime is 122102231. The reversal of 122102209 is 902201221.

It can be written as a sum of positive squares in 8 ways, for example, as 8573184 + 113529025 = 2928^2 + 10655^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102209 - 219 = 121577921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122102203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289819 + ... + 290239.

It is an arithmetic number, because the mean of its divisors is an integer number (8080245).

Almost surely, 2122102209 is an apocalyptic number.

It is an amenable number.

122102209 is a deficient number, since it is larger than the sum of its proper divisors (7181711).

122102209 is a wasteful number, since it uses less digits than its factorization.

122102209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 122102209 is about 11049.9868325713. The cubic root of 122102209 is about 496.1060314095.

The spelling of 122102209 in words is "one hundred twenty-two million, one hundred two thousand, two hundred nine".

Divisors: 1 29 73 137 421 2117 3973 10001 12209 30733 57677 290029 891257 1672633 4210421 122102209