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122110409 is a prime number
BaseRepresentation
bin1110100011101…
…00000111001001
322111202211222202
413101310013021
5222230013114
620041125545
73011631011
oct721640711
9274684882
10122110409
1162a233a3
1234a898b5
131c3b56a5
1412308c41
15aac0cde
hex74741c9

122110409 has 2 divisors, whose sum is σ = 122110410. Its totient is φ = 122110408.

The previous prime is 122110393. The next prime is 122110441. The reversal of 122110409 is 904011221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62094400 + 60016009 = 7880^2 + 7747^2 .

It is a cyclic number.

It is not a de Polignac number, because 122110409 - 24 = 122110393 is a prime.

It is a super-2 number, since 2×1221104092 = 29821903972294562, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122112409) 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 as a sum of consecutive naturals, namely, 61055204 + 61055205.

It is an arithmetic number, because the mean of its divisors is an integer number (61055205).

Almost surely, 2122110409 is an apocalyptic number.

It is an amenable number.

122110409 is a deficient number, since it is larger than the sum of its proper divisors (1).

122110409 is an equidigital number, since it uses as much as digits as its factorization.

122110409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 122110409 is about 11050.3578675082. The cubic root of 122110409 is about 496.1171368007.

The spelling of 122110409 in words is "one hundred twenty-two million, one hundred ten thousand, four hundred nine".