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122031131013 = 3411136959743
BaseRepresentation
bin111000110100110011…
…1110100100110000101
3102122222120002202110000
41301221213310212011
53444404432143023
6132021010351513
711550021333111
oct1615147644605
9378876082400
10122031131013
11478314349a0
121b797b8b599
13b679c4143c
145c98dc6741
153293467243
hex1c699f4985

122031131013 has 20 divisors (see below), whose sum is σ = 198865548288. Its totient is φ = 73958260680.

The previous prime is 122031130979. The next prime is 122031131039. The reversal of 122031131013 is 310131130221.

122031131013 is a `hidden beast` number, since 12 + 20 + 311 + 310 + 13 = 666.

It is not a de Polignac number, because 122031131013 - 226 = 121964022149 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122031131113) 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 19 ways as a sum of consecutive naturals, for example, 68478981 + ... + 68480762.

Almost surely, 2122031131013 is an apocalyptic number.

It is an amenable number.

122031131013 is a deficient number, since it is larger than the sum of its proper divisors (76834417275).

122031131013 is a wasteful number, since it uses less digits than its factorization.

122031131013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136959766 (or 136959757 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 122031131013 its reverse (310131130221), we get a palindrome (432162261234).

The spelling of 122031131013 in words is "one hundred twenty-two billion, thirty-one million, one hundred thirty-one thousand, thirteen".

Divisors: 1 3 9 11 27 33 81 99 297 891 136959743 410879229 1232637687 1506557173 3697913061 4519671519 11093739183 13559014557 40677043671 122031131013