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112212222120100 = 225210601105850601
BaseRepresentation
bin11001100000111001110001…
…101000111001000010100100
3112201022101100200202100102101
4121200321301220321002210
5104201441112330320400
61034353325545221444
732431031320342054
oct3140716150710244
9481271320670371
10112212222120100
1132832a33024983
1210703592191884
134a7c74b019c0b
141d9d159bcd564
15ce8d6db5d56a
hex660e71a390a4

112212222120100 has 36 divisors (see below), whose sum is σ = 243523493881668. Its totient is φ = 44880654400000.

The previous prime is 112212222120079. The next prime is 112212222120127. The reversal of 112212222120100 is 1021222212211.

It can be written as a sum of positive squares in 6 ways, for example, as 361799844004 + 111850422276096 = 601498^2 + 10575936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51865201 + ... + 53985400.

It is an arithmetic number, because the mean of its divisors is an integer number (6764541496713).

Almost surely, 2112212222120100 is an apocalyptic number.

112212222120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112212222120100 is an abundant number, since it is smaller than the sum of its proper divisors (131311271761568).

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

112212222120100 is a wasteful number, since it uses less digits than its factorization.

112212222120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105861216 (or 105861209 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 112212222120100 its reverse (1021222212211), we get a palindrome (113233444332311).

The spelling of 112212222120100 in words is "one hundred twelve trillion, two hundred twelve billion, two hundred twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10601 21202 42404 53005 106010 212020 265025 530050 1060100 105850601 211701202 423402404 529253005 1058506010 2117012020 2646265025 5292530050 10585060100 1122122221201 2244244442402 4488488884804 5610611106005 11221222212010 22442444424020 28053055530025 56106111060050 112212222120100