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112022100100000 = 255517393116763
BaseRepresentation
bin11001011110001000101101…
…011110111100001110100000
3112200122012121202122000221101
4121132020231132330032200
5104140332230111200000
61034130124202404144
732411221033003216
oct3136105536741640
9480565552560841
10112022100100000
113276a340107232
1210692772800654
134a6783c33497c
141d93c8198acb6
15ce3e429e2e6a
hex65e22d7bc3a0

112022100100000 has 288 divisors, whose sum is σ = 291968806675392. Its totient is φ = 42159782400000.

The previous prime is 112022100099991. The next prime is 112022100100049. The reversal of 112022100100000 is 1001220211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 112022100100000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6682691619 + ... + 6682708381.

It is an arithmetic number, because the mean of its divisors is an integer number (1013780578734).

Almost surely, 2112022100100000 is an apocalyptic number.

112022100100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112022100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145984403337696).

112022100100000 is an abundant number, since it is smaller than the sum of its proper divisors (179946706575392).

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

112022100100000 is an equidigital number, since it uses as much as digits as its factorization.

112022100100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20746 (or 20718 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112022100100000 its reverse (1001220211), we get a palindrome (112023101320211).

The spelling of 112022100100000 in words is "one hundred twelve trillion, twenty-two billion, one hundred million, one hundred thousand".