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100022220210120 = 233513171967113157167
BaseRepresentation
bin10110101111100000111100…
…111001111011111111001000
3111010011000211111120011020220
4112233200330321323333020
5101102231001333210440
6552421323522550040
730032236600621035
oct2657407471737710
9433130744504226
10100022220210120
112996320480999a
12b274b87208320
1343a70937aa180
141a9b15bd1638c
15b86c1a3ea8d0
hex5af83ce7bfc8

100022220210120 has 2048 divisors, whose sum is σ = 373347433267200. Its totient is φ = 21169878073344.

The previous prime is 100022220210083. The next prime is 100022220210221. The reversal of 100022220210120 is 21012022220001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100022220210120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 598935450277 + ... + 598935450443.

It is an arithmetic number, because the mean of its divisors is an integer number (182298551400).

Almost surely, 2100022220210120 is an apocalyptic number.

100022220210120 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 100022220210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186673716633600).

100022220210120 is an abundant number, since it is smaller than the sum of its proper divisors (273325213057080).

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

100022220210120 is a wasteful number, since it uses less digits than its factorization.

100022220210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100022220210120 its reverse (21012022220001), we get a palindrome (121034242430121).

The spelling of 100022220210120 in words is "one hundred trillion, twenty-two billion, two hundred twenty million, two hundred ten thousand, one hundred twenty".