Search a number
-
+
112210020012211 = 11217152681357283
BaseRepresentation
bin11001100000110111101110…
…011000100001000010110011
3112201022011200020002200021221
4121200313232120201002303
5104201422110110342321
61034352323242325511
732430622620623332
oct3140675630410263
9481264606080257
10112210020012211
1132832002a95700
12107030787b9897
134a7c489a2acb4
141d9cdcb563d19
15ce8c90676e41
hex660dee6210b3

112210020012211 has 24 divisors (see below), whose sum is σ = 130594700637072. Its totient is φ = 96007675737600.

The previous prime is 112210020012199. The next prime is 112210020012227.

112210020012211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112210020012211 - 227 = 112209885794483 is a prime.

It is a super-2 number, since 2×1122100200122112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112210020012011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313886176 + ... + 314243458.

It is an arithmetic number, because the mean of its divisors is an integer number (5441445859878).

Almost surely, 2112210020012211 is an apocalyptic number.

112210020012211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112210020012211 is a deficient number, since it is larger than the sum of its proper divisors (18384680624861).

112210020012211 is a wasteful number, since it uses less digits than its factorization.

112210020012211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510003 (or 509992 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 112210020012211 in words is "one hundred twelve trillion, two hundred ten billion, twenty million, twelve thousand, two hundred eleven".

Divisors: 1 11 17 121 187 2057 152681 357283 1679491 2595577 3930113 6073811 18474401 28551347 43231243 66811921 314064817 734931131 54550325723 600053582953 927355537291 6600589412483 10200910910201 112210020012211