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112022100220122 = 23217366085294837
BaseRepresentation
bin11001011110001000101101…
…011111011001100011011010
3112200122012121202212010201100
4121132020231133121203122
5104140332230124020442
61034130124205132230
732411221034013351
oct3136105537314332
9480565552763640
10112022100220122
113276a340189504
121069277285a076
134a6783c377551
141d93c819bc998
15ce3e42a1884c
hex65e22d7d98da

112022100220122 has 24 divisors (see below), whose sum is σ = 256991876976276. Its totient is φ = 35144188304256.

The previous prime is 112022100220021. The next prime is 112022100220127. The reversal of 112022100220122 is 221022001220211.

It is a happy number.

112022100220122 is a `hidden beast` number, since 11 + 202 + 210 + 0 + 220 + 1 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111688098291081 + 334001929041 = 10568259^2 + 577929^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112022100220095 and 112022100220104.

It is not an unprimeable number, because it can be changed into a prime (112022100220127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183042647113 + ... + 183042647724.

Almost surely, 2112022100220122 is an apocalyptic number.

112022100220122 is an abundant number, since it is smaller than the sum of its proper divisors (144969776756154).

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

112022100220122 is a wasteful number, since it uses less digits than its factorization.

112022100220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366085294862 (or 366085294859 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112022100220122 its reverse (221022001220211), we get a palindrome (333044101440333).

The spelling of 112022100220122 in words is "one hundred twelve trillion, twenty-two billion, one hundred million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 366085294837 732170589674 1098255884511 2196511769022 3294767653533 6223450012229 6589535307066 12446900024458 18670350036687 37340700073374 56011050110061 112022100220122