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112111222111211 = 23717310113767967
BaseRepresentation
bin11001011111011011101101…
…100100011011101111101011
3112200221201122211102021212102
4121133123231210123233223
5104143312240330024321
61034235103500404015
732420524411414541
oct3137335544335753
9480851584367772
10112111222111211
11327a411416a354
12106a7aa554660b
134a7307329924b
141d982d801bd91
15ce640bc3ec0b
hex65f6ed91bbeb

112111222111211 has 64 divisors (see below), whose sum is σ = 122337388855296. Its totient is φ = 102490553088000.

The previous prime is 112111222111177. The next prime is 112111222111243.

112111222111211 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 112111222111211 - 246 = 41742477933547 is a prime.

It is a super-2 number, since 2×1121112221112112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112111222111271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1649460950 + ... + 1649528916.

It is an arithmetic number, because the mean of its divisors is an integer number (1911521700864).

Almost surely, 2112111222111211 is an apocalyptic number.

112111222111211 is a deficient number, since it is larger than the sum of its proper divisors (10226166744085).

112111222111211 is a wasteful number, since it uses less digits than its factorization.

112111222111211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68372.

The product of its digits is 32, while the sum is 20.

The spelling of 112111222111211 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, two hundred eleven".

Divisors: 1 23 71 73 101 137 1633 1679 2323 3151 5183 7171 7373 9727 10001 13837 67967 119209 164933 169579 223721 230023 318251 523483 710071 982427 1010101 1563241 4825657 4961591 6864667 9311479 12040109 16331633 22595821 23232323 71717171 110990111 114116593 157887341 214164017 352272961 487391357 501120691 661115009 679737967 940459379 1649494933 8102278103 11210001211 11525775893 15205645207 15633973241 21630565717 35579569061 48261395657 66772615909 68653534667 818330088403 1110012100111 1535770165907 1579031297341 4874400961357 112111222111211