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112222000100 = 22527222902449
BaseRepresentation
bin110100010000011110…
…0111101001111100100
3101201122221111021111002
41220200330331033210
53314312313000400
6123315402532432
711051652155600
oct1504074751744
9351587437432
10112222000100
1143658436731
12198bab07118
13a775962172
14560834a500
152dbc20ced5
hex1a20f3d3e4

112222000100 has 54 divisors (see below), whose sum is σ = 283280404050. Its totient is φ = 38476112640.

The previous prime is 112222000087. The next prime is 112222000109. The reversal of 112222000100 is 1000222211.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2585519104 + 109636480996 = 50848^2 + 331114^2 .

It is not an unprimeable number, because it can be changed into a prime (112222000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11446325 + ... + 11456124.

Almost surely, 2112222000100 is an apocalyptic number.

112222000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112222000100 is an abundant number, since it is smaller than the sum of its proper divisors (171058403950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112222000100 is a wasteful number, since it uses less digits than its factorization.

112222000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22902477 (or 22902463 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 112222000100 its reverse (1000222211), we get a palindrome (113222222311).

The spelling of 112222000100 in words is "one hundred twelve billion, two hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 22902449 45804898 91609796 114512245 160317143 229024490 320634286 458048980 572561225 641268572 801585715 1122220001 1145122450 1603171430 2244440002 2290244900 3206342860 4007928575 4488880004 5611100005 8015857150 11222200010 16031714300 22444400020 28055500025 56111000050 112222000100