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112000222100 = 22521386154017
BaseRepresentation
bin110100001001110111…
…0111100001110010100
3101201002111011210021002
41220103232330032110
53313334024101400
6123241401242432
711043320115524
oct1502356741624
9351074153232
10112000222100
1143554229628
1219858793418
13a73ba21390
1455c6ad9684
152da7a00ed5
hex1a13bbc394

112000222100 has 36 divisors (see below), whose sum is σ = 261735906684. Its totient is φ = 41353927680.

The previous prime is 112000222097. The next prime is 112000222109. The reversal of 112000222100 is 1222000211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 43463076484 + 68537145616 = 208478^2 + 261796^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112000222109) 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 11 ways as a sum of consecutive naturals, for example, 43075709 + ... + 43078308.

Almost surely, 2112000222100 is an apocalyptic number.

112000222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112000222100 is an abundant number, since it is smaller than the sum of its proper divisors (149735684584).

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

112000222100 is a wasteful number, since it uses less digits than its factorization.

112000222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86154044 (or 86154037 counting only the distinct ones).

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

Adding to 112000222100 its reverse (1222000211), we get a palindrome (113222222311).

The spelling of 112000222100 in words is "one hundred twelve billion, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 86154017 172308034 344616068 430770085 861540170 1120002221 1723080340 2153850425 2240004442 4307700850 4480008884 5600011105 8615401700 11200022210 22400044420 28000055525 56000111050 112000222100