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2022110112200 = 2352101100104461
BaseRepresentation
bin11101011011001111001…
…001111010100111001000
321011022102022220220222112
4131123033021322213020
5231112240142042300
64144540005241452
7266043526233413
oct35331711724710
97138368826875
102022110112200
1170a632495392
12287a94703288
131188b815a7b9
146dc290d4b7a
15378ee10be35
hex1d6cf27a9c8

2022110112200 has 48 divisors (see below), whose sum is σ = 4747954632660. Its totient is φ = 800835680000.

The previous prime is 2022110112199. The next prime is 2022110112221. The reversal of 2022110112200 is 22110112202.

It can be written as a sum of positive squares in 6 ways, for example, as 1643631689764 + 378478422436 = 1282042^2 + 615206^2 .

It is a super-2 number, since 2×20221101122002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50032031 + ... + 50072430.

Almost surely, 22022110112200 is an apocalyptic number.

2022110112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022110112200 is an abundant number, since it is smaller than the sum of its proper divisors (2725844520460).

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

2022110112200 is a wasteful number, since it uses less digits than its factorization.

2022110112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100104578 (or 100104569 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2022110112200 its reverse (22110112202), we get a palindrome (2044220224402).

The spelling of 2022110112200 in words is "two trillion, twenty-two billion, one hundred ten million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 20200 100104461 200208922 400417844 500522305 800835688 1001044610 2002089220 2502611525 4004178440 5005223050 10010446100 10110550561 20020892200 20221101122 40442202244 50552752805 80884404488 101105505610 202211011220 252763764025 404422022440 505527528050 1011055056100 2022110112200