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122113100120131 = 727193386895241
BaseRepresentation
bin11011110000111110101011…
…111101001000000001000011
3121000100220020220110021121201
4123300332223331020001003
5112001200112112321011
61111413552254002031
734502244312640621
oct3360765375100103
9530326226407551
10122113100120131
11359aa96959925a
12118424061a6317
13531a2a6528843
14222243c72c511
15e1b696999cc1
hex6f0fabf48043

122113100120131 has 8 divisors (see below), whose sum is σ = 122344329764384. Its totient is φ = 121882044271680.

The previous prime is 122113100120129. The next prime is 122113100120147. The reversal of 122113100120131 is 131021001311221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122113100120131 - 21 = 122113100120129 is a prime.

It is a super-2 number, since 2×1221131001201312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122113100120099 and 122113100120108.

It is not an unprimeable number, because it can be changed into a prime (122113100120731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42042330 + ... + 44852911.

It is an arithmetic number, because the mean of its divisors is an integer number (15293041220548).

Almost surely, 2122113100120131 is an apocalyptic number.

122113100120131 is a deficient number, since it is larger than the sum of its proper divisors (231229644253).

122113100120131 is an equidigital number, since it uses as much as digits as its factorization.

122113100120131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86897901.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 122113100120131 its reverse (131021001311221), we get a palindrome (253134101431352).

The spelling of 122113100120131 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred million, one hundred twenty thousand, one hundred thirty-one".

Divisors: 1 727 1933 1405291 86895241 63172840207 167968500853 122113100120131