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112221262122211 = 1125291171752823
BaseRepresentation
bin11001100001000010001100…
…011101110000110011100011
3112201100020200201010001000101
4121201002030131300303203
5104202113121100402321
61034401423000003231
732431501330160254
oct3141021435606343
9481306621101011
10112221262122211
1132836851958300
1210705295760517
134a8055bb649a8
141d9d776658b2b
15ce91ec5dc791
hex66108c770ce3

112221262122211 has 12 divisors (see below), whose sum is σ = 123350946987856. Its totient is φ = 102019078188720.

The previous prime is 112221262122199. The next prime is 112221262122253.

112221262122211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112221262122211 - 27 = 112221262122083 is a prime.

It is a super-2 number, since 2×1122212621222112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112221262122211.

It is not an unprimeable number, because it can be changed into a prime (112221262102211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63146746 + ... + 64899568.

Almost surely, 2112221262122211 is an apocalyptic number.

112221262122211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112221262122211 is a deficient number, since it is larger than the sum of its proper divisors (11129684865645).

112221262122211 is a wasteful number, since it uses less digits than its factorization.

112221262122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281962 (or 2281951 counting only the distinct ones).

The product of its digits is 1536, while the sum is 28.

The spelling of 112221262122211 in words is "one hundred twelve trillion, two hundred twenty-one billion, two hundred sixty-two million, one hundred twenty-two thousand, two hundred eleven".

Divisors: 1 11 121 529117 1752823 5820287 19281053 64023157 212091583 927448447291 10201932920201 112221262122211