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123315252253341 = 32331151381793969
BaseRepresentation
bin11100000010011110010001…
…110011100101001010011101
3121011121211012221210002100120
4130002132101303211022131
5112130344114034101331
61114134124514145153
734655142623321541
oct3402362163451235
9534554187702316
10123315252253341
1136323783090935
12119b73a45821b9
1353a6769955745
1422646c09d3a21
15e3caa5599796
hex702791ce529d

123315252253341 has 32 divisors (see below), whose sum is σ = 178276403527680. Its totient is φ = 75595205664000.

The previous prime is 123315252253313. The next prime is 123315252253367. The reversal of 123315252253341 is 143352252513321.

It is not a de Polignac number, because 123315252253341 - 219 = 123315251729053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123315252253293 and 123315252253302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123315252253301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190573996 + ... + 191219973.

It is an arithmetic number, because the mean of its divisors is an integer number (5571137610240).

Almost surely, 2123315252253341 is an apocalyptic number.

It is an amenable number.

123315252253341 is a deficient number, since it is larger than the sum of its proper divisors (54961151274339).

123315252253341 is a wasteful number, since it uses less digits than its factorization.

123315252253341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381794177.

The product of its digits is 648000, while the sum is 42.

The spelling of 123315252253341 in words is "one hundred twenty-three trillion, three hundred fifteen billion, two hundred fifty-two million, two hundred fifty-three thousand, three hundred forty-one".

Divisors: 1 3 23 31 69 93 151 453 713 2139 3473 4681 10419 14043 107663 322989 381793969 1145381907 8781261287 11835613039 26343783861 35506839117 57650889319 172952667957 272219099897 816657299691 1325970454337 1787177568889 3977911363011 5361532706667 41105084084447 123315252253341