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122252553 = 32113120209
BaseRepresentation
bin1110100100101…
…10110100001001
322112001001222100
413102112310021
5222244040203
620044144013
73013062303
oct722266411
9275031870
10122252553
1163010175
1234b38009
131c4352b7
1412344973
15aaecea3
hex7496d09

122252553 has 12 divisors (see below), whose sum is σ = 178151220. Its totient is φ = 80779776.

The previous prime is 122252539. The next prime is 122252597. The reversal of 122252553 is 355252221.

It can be written as a sum of positive squares in 2 ways, for example, as 4052169 + 118200384 = 2013^2 + 10872^2 .

It is not a de Polignac number, because 122252553 - 26 = 122252489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122252453) 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 11 ways as a sum of consecutive naturals, for example, 59088 + ... + 61121.

It is an arithmetic number, because the mean of its divisors is an integer number (14845935).

Almost surely, 2122252553 is an apocalyptic number.

It is an amenable number.

122252553 is a deficient number, since it is larger than the sum of its proper divisors (55898667).

122252553 is a wasteful number, since it uses less digits than its factorization.

122252553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120328 (or 120325 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 122252553 is about 11056.7876437960. The cubic root of 122252553 is about 496.3095657381.

The spelling of 122252553 in words is "one hundred twenty-two million, two hundred fifty-two thousand, five hundred fifty-three".

Divisors: 1 3 9 113 339 1017 120209 360627 1081881 13583617 40750851 122252553