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122142464025 = 3521795798011
BaseRepresentation
bin111000111000001000…
…0100001100000011001
3102200021022121001121220
41301300100201200121
54000121432322100
6132040024522253
711552542546131
oct1616020414031
9380238531556
10122142464025
114788926704a
121b809320389
13b69702246a
145ca9ac7ac1
15329d109aa0
hex1c70421819

122142464025 has 24 divisors (see below), whose sum is σ = 213821162784. Its totient is φ = 61310726400.

The previous prime is 122142464009. The next prime is 122142464039. The reversal of 122142464025 is 520464241221.

It is not a de Polignac number, because 122142464025 - 24 = 122142464009 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 47897731 + ... + 47900280.

It is an arithmetic number, because the mean of its divisors is an integer number (8909215116).

Almost surely, 2122142464025 is an apocalyptic number.

122142464025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122142464025 is a deficient number, since it is larger than the sum of its proper divisors (91678698759).

122142464025 is a wasteful number, since it uses less digits than its factorization.

122142464025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95798041 (or 95798036 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 122142464025 in words is "one hundred twenty-two billion, one hundred forty-two million, four hundred sixty-four thousand, twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 255 425 1275 95798011 287394033 478990055 1436970165 1628566187 2394950275 4885698561 7184850825 8142830935 24428492805 40714154675 122142464025