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112122011010123 = 33192137330130983
BaseRepresentation
bin11001011111100101110000…
…101000110100010001001011
3112200222202111201122010212000
4121133211300220310101023
5104144001334304310443
61034244050224122043
732421355645506402
oct3137456050642113
9480882451563760
10112122011010123
11327a8750222834
12106a9bb6766323
134a740a25507ba
141d98a3cc5a639
15ce683ded08d3
hex65f970a3444b

112122011010123 has 64 divisors (see below), whose sum is σ = 174989600947200. Its totient is φ = 70757038598400.

The previous prime is 112122011010101. The next prime is 112122011010151. The reversal of 112122011010123 is 321010110221211.

It is a happy number.

It is not a de Polignac number, because 112122011010123 - 214 = 112122010993739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112122011010096 and 112122011010105.

It is not an unprimeable number, because it can be changed into a prime (112122011030123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3618808090 + ... + 3618839072.

It is an arithmetic number, because the mean of its divisors is an integer number (2734212514800).

Almost surely, 2112122011010123 is an apocalyptic number.

112122011010123 is a deficient number, since it is larger than the sum of its proper divisors (62867589937077).

112122011010123 is a wasteful number, since it uses less digits than its factorization.

112122011010123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36449 (or 36443 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 112122011010123 its reverse (321010110221211), we get a palindrome (433132121231334).

The spelling of 112122011010123 in words is "one hundred twelve trillion, one hundred twenty-two billion, eleven million, ten thousand, one hundred twenty-three".

Divisors: 1 3 9 19 27 57 171 513 2137 3301 6411 9903 19233 29709 30983 40603 57699 62719 89127 92949 121809 188157 278847 365427 564471 588677 836541 1096281 1693413 1766031 5298093 7054237 15894279 21162711 63488133 66210671 102274883 134030503 190464399 198632013 306824649 402091509 595896039 920473947 1206274527 1258002749 1787688117 1943222777 2761421841 3618823581 3774008247 5829668331 11322024741 17489004993 33966074223 52467014979 218561424971 655684274913 1967052824739 4152667074449 5901158474217 12458001223347 37374003670041 112122011010123