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112200222100 = 22521122002221
BaseRepresentation
bin110100001111110100…
…1111000010110010100
3101201121102111211200111
41220133221320112110
53314241224101400
6123313304052404
711051266103101
oct1503751702624
9351542454614
10112200222100
114364711158a
12198b3764104
13a7712a8685
1456054bbaa8
152dba35a3ba
hex1a1fa78594

112200222100 has 18 divisors (see below), whose sum is σ = 243474482174. Its totient is φ = 44880088800.

The previous prime is 112200222097. The next prime is 112200222107. The reversal of 112200222100 is 1222002211.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 21431788816 + 90768433284 = 146396^2 + 301278^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112200222107) 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 5 ways as a sum of consecutive naturals, for example, 561001011 + ... + 561001210.

Almost surely, 2112200222100 is an apocalyptic number.

112200222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112200222100 is an abundant number, since it is smaller than the sum of its proper divisors (131274260074).

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

112200222100 is a wasteful number, since it uses less digits than its factorization.

112200222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122002235 (or 1122002228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 112200222100 its reverse (1222002211), we get a palindrome (113422224311).

The spelling of 112200222100 in words is "one hundred twelve billion, two hundred million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1122002221 2244004442 4488008884 5610011105 11220022210 22440044420 28050055525 56100111050 112200222100