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122006600253 = 3289152317853
BaseRepresentation
bin111000110100000101…
…0001111101000111101
3102122220211221110120100
41301220022033220331
53444332142202003
6132014332511313
711546302663626
oct1615012175075
9378824843510
10122006600253
11478195aa63a
121b78b91b539
13b674b329b5
145c95a3ca4d
15329121dba3
hex1c6828fa3d

122006600253 has 12 divisors (see below), whose sum is σ = 178211889180. Its totient is φ = 80423825856.

The previous prime is 122006600227. The next prime is 122006600267. The reversal of 122006600253 is 352006600221.

122006600253 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 0 + 6 + 600 + 2 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29786272569 + 92220327684 = 172587^2 + 303678^2 .

It is not a de Polignac number, because 122006600253 - 26 = 122006600189 is a prime.

It is a super-2 number, since 2×1220066002532 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122006600293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76158126 + ... + 76159727.

It is an arithmetic number, because the mean of its divisors is an integer number (14850990765).

Almost surely, 2122006600253 is an apocalyptic number.

It is an amenable number.

122006600253 is a deficient number, since it is larger than the sum of its proper divisors (56205288927).

122006600253 is a wasteful number, since it uses less digits than its factorization.

122006600253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152317948 (or 152317945 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 122006600253 in words is "one hundred twenty-two billion, six million, six hundred thousand, two hundred fifty-three".

Divisors: 1 3 9 89 267 801 152317853 456953559 1370860677 13556288917 40668866751 122006600253