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121112122313 = 71321719316957
BaseRepresentation
bin111000011001011011…
…0000101001111001001
3102120121111211021111202
41300302312011033021
53441014200403223
6131345501033545
711515162024340
oct1606266051711
9376544737452
10121112122313
11473aa6aa076
121b5802558b5
13b561720900
145c0cd1cb57
15323c933428
hex1c32d853c9

121112122313 has 48 divisors (see below), whose sum is σ = 167049544320. Its totient is φ = 85441195008.

The previous prime is 121112122301. The next prime is 121112122319. The reversal of 121112122313 is 313221211121.

It is not a de Polignac number, because 121112122313 - 24 = 121112122297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121112122319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223631 + ... + 540587.

It is an arithmetic number, because the mean of its divisors is an integer number (3480198840).

Almost surely, 2121112122313 is an apocalyptic number.

121112122313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121112122313 is a deficient number, since it is larger than the sum of its proper divisors (45937422007).

121112122313 is a wasteful number, since it uses less digits than its factorization.

121112122313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317026 (or 317013 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

Adding to 121112122313 its reverse (313221211121), we get a palindrome (434333333434).

The spelling of 121112122313 in words is "one hundred twenty-one billion, one hundred twelve million, one hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 7 13 17 19 91 119 133 169 221 247 323 1183 1547 1729 2261 2873 3211 4199 20111 22477 29393 54587 316957 382109 2218699 4120441 5388269 6022183 28843087 37717883 42155281 53565733 70047497 78288379 102377111 374960131 490332479 548018653 716639777 910617461 1017748927 1330902443 6374322227 7124242489 9316317101 17301731759 121112122313