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122131231302231 = 32307138007320291
BaseRepresentation
bin11011110001001111100100…
…101010000110001001010111
3121000102122001111110202122200
4123301033210222012021113
5112001444230203132411
61111430151344055543
734503455523306054
oct3361174452061127
9530378044422580
10122131231302231
1135a0762312a778
1211845a263045b3
13531bc05999968
14222327c74602b
15e1bda8616e56
hex6f13e4a86257

122131231302231 has 24 divisors (see below), whose sum is σ = 176988244777344. Its totient is φ = 81154765034640.

The previous prime is 122131231302229. The next prime is 122131231302233. The reversal of 122131231302231 is 132203132131221.

122131231302231 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 123 + 1 + 302 + 231 = 666.

It is an interprime number because it is at equal distance from previous prime (122131231302229) and next prime (122131231302233).

It is not a de Polignac number, because 122131231302231 - 21 = 122131231302229 is a prime.

It is a super-2 number, since 2×1221312313022312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122131231302195 and 122131231302204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122131231302233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381153196 + ... + 381473486.

It is an arithmetic number, because the mean of its divisors is an integer number (7374510199056).

Almost surely, 2122131231302231 is an apocalyptic number.

122131231302231 is a deficient number, since it is larger than the sum of its proper divisors (54857013475113).

122131231302231 is a wasteful number, since it uses less digits than its factorization.

122131231302231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458611 (or 458608 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 122131231302231 its reverse (132203132131221), we get a palindrome (254334363433452).

The spelling of 122131231302231 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, two hundred thirty-one million, three hundred two thousand, two hundred thirty-one".

Divisors: 1 3 9 307 921 2763 138007 320291 414021 960873 1242063 2882619 42368149 98329337 127104447 294988011 381313341 884964033 44202400037 132607200111 397821600333 13570136811359 40710410434077 122131231302231