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122107905 = 345301501
BaseRepresentation
bin1110100011100…
…11100000000001
322111202201120000
413101303200001
5222224423110
620041110213
73011620503
oct721634001
9274681500
10122107905
1162a21527
1234a88369
131c3b44ca
1412307d73
15aac01c0
hex7473801

122107905 has 20 divisors (see below), whose sum is σ = 218890452. Its totient is φ = 65124000.

The previous prime is 122107901. The next prime is 122107907. The reversal of 122107905 is 509701221.

It can be written as a sum of positive squares in 2 ways, for example, as 95883264 + 26224641 = 9792^2 + 5121^2 .

It is not a de Polignac number, because 122107905 - 22 = 122107901 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122107901) 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 19 ways as a sum of consecutive naturals, for example, 150346 + ... + 151155.

Almost surely, 2122107905 is an apocalyptic number.

122107905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122107905 is a deficient number, since it is larger than the sum of its proper divisors (96782547).

122107905 is an equidigital number, since it uses as much as digits as its factorization.

122107905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301518 (or 301509 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 122107905 is about 11050.2445674293. The cubic root of 122107905 is about 496.1137456462.

The spelling of 122107905 in words is "one hundred twenty-two million, one hundred seven thousand, nine hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 301501 904503 1507505 2713509 4522515 8140527 13567545 24421581 40702635 122107905