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111022112112201 = 3212335790234689
BaseRepresentation
bin11001001111100101011001…
…100011011111111001001001
3112120002121110212210220002200
4121033211121203133321021
5104022441241200042301
61032042504301350413
732246040302234163
oct3117453143377111
9476077425726080
10111022112112201
1132414238a46284
12105509b4868409
1349c44566b3854
141d5b6dad8d933
15cc7e17350c86
hex64f9598dfe49

111022112112201 has 6 divisors (see below), whose sum is σ = 160365273050970. Its totient is φ = 74014741408128.

The previous prime is 111022112112133. The next prime is 111022112112227. The reversal of 111022112112201 is 102211211220111.

It is a happy number.

111022112112201 is a `hidden beast` number, since 1 + 1 + 10 + 221 + 1 + 211 + 220 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78284272665600 + 32737839446601 = 8847840^2 + 5721699^2 .

It is not a de Polignac number, because 111022112112201 - 213 = 111022112104009 is a prime.

It is a super-2 number, since 2×1110221121122012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111022112112701) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6167895117336 + ... + 6167895117353.

It is an arithmetic number, because the mean of its divisors is an integer number (26727545508495).

Almost surely, 2111022112112201 is an apocalyptic number.

It is an amenable number.

111022112112201 is a deficient number, since it is larger than the sum of its proper divisors (49343160938769).

111022112112201 is a wasteful number, since it uses less digits than its factorization.

111022112112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12335790234695 (or 12335790234692 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 111022112112201 its reverse (102211211220111), we get a palindrome (213233323332312).

It can be divided in two parts, 11 and 1022112112201, that multiplied together give a palindrome (11243233234211).

The spelling of 111022112112201 in words is "one hundred eleven trillion, twenty-two billion, one hundred twelve million, one hundred twelve thousand, two hundred one".

Divisors: 1 3 9 12335790234689 37007370704067 111022112112201