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121011322131 = 3272274402091
BaseRepresentation
bin111000010110011010…
…1100011110100010011
3102120100111011002122200
41300230311203310103
53440312344302011
6131331500334243
711512526160300
oct1605465436423
9376314132580
10121011322131
1147358811437
121b552544383
13b546889b2b
145bdd7a00a7
153233b71856
hex1c2cd63d13

121011322131 has 18 divisors (see below), whose sum is σ = 203331950172. Its totient is φ = 69149326680.

The previous prime is 121011322079. The next prime is 121011322193. The reversal of 121011322131 is 131223110121.

121011322131 is a `hidden beast` number, since 1 + 210 + 1 + 1 + 322 + 131 = 666.

It is not a de Polignac number, because 121011322131 - 211 = 121011320083 is a prime.

It is a super-2 number, since 2×1210113221312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121011327131) 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 17 ways as a sum of consecutive naturals, for example, 137200605 + ... + 137201486.

It is an arithmetic number, because the mean of its divisors is an integer number (11296219454).

Almost surely, 2121011322131 is an apocalyptic number.

121011322131 is a deficient number, since it is larger than the sum of its proper divisors (82320628041).

121011322131 is a wasteful number, since it uses less digits than its factorization.

121011322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274402111 (or 274402101 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121011322131 its reverse (131223110121), we get a palindrome (252234432252).

The spelling of 121011322131 in words is "one hundred twenty-one billion, eleven million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 147 441 274402091 823206273 1920814637 2469618819 5762443911 13445702459 17287331733 40337107377 121011322131