Search a number
-
+
123113343311321 = 1128905111425651
BaseRepresentation
bin11011111111100010001111…
…000110000101110111011001
3121010220112001120111002200212
4123333202033012011313121
5112114042111341430241
61113501253352540505
734634434262533106
oct3377421706056731
9533815046432625
10123113343311321
1136256091817300
12119842356b1735
1353906cccc189c
142258a0919baad
15e376d974cbeb
hex6ff88f185dd9

123113343311321 has 12 divisors (see below), whose sum is σ = 135324462533232. Its totient is φ = 111919954575000.

The previous prime is 123113343311251. The next prime is 123113343311327.

123113343311321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123113343311321 - 246 = 52744599133657 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123113343311327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5062346 + ... + 16487996.

It is an arithmetic number, because the mean of its divisors is an integer number (11277038544436).

Almost surely, 2123113343311321 is an apocalyptic number.

123113343311321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123113343311321 is a deficient number, since it is larger than the sum of its proper divisors (12211119221911).

123113343311321 is a wasteful number, since it uses less digits than its factorization.

123113343311321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11514724 (or 11514713 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

The spelling of 123113343311321 in words is "one hundred twenty-three trillion, one hundred thirteen billion, three hundred forty-three million, three hundred eleven thousand, three hundred twenty-one".

Divisors: 1 11 121 89051 979561 10775171 11425651 125682161 1382503771 1017465647201 11192122119211 123113343311321