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10000222100 = 22521110190011
BaseRepresentation
bin10010101000000111…
…10100011110010100
3221210221011220210022
421110003310132110
5130440024101400
64332151244312
7502546325321
oct112403643624
927727156708
1010000222100
114271956970
121b31079698
13c34a675ab
146ac1bdb48
153d7e03b85
hex2540f4794

10000222100 has 72 divisors (see below), whose sum is σ = 23907907296. Its totient is φ = 3600400000.

The previous prime is 10000222097. The next prime is 10000222121. The reversal of 10000222100 is 122200001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66095 + ... + 156105.

It is an arithmetic number, because the mean of its divisors is an integer number (332054268).

Almost surely, 210000222100 is an apocalyptic number.

10000222100 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 10000222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11953953648).

10000222100 is an abundant number, since it is smaller than the sum of its proper divisors (13907685196).

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

10000222100 is a wasteful number, since it uses less digits than its factorization.

10000222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90137 (or 90130 counting only the distinct ones).

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

Adding to 10000222100 its reverse (122200001), we get a palindrome (10122422101).

The spelling of 10000222100 in words is "ten billion, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 90011 111100 180022 360044 450055 900110 990121 1800220 1980242 2250275 3960484 4500550 4950605 9001100 9091111 9901210 18182222 19802420 24753025 36364444 45455555 49506050 90911110 99012100 100002221 181822220 200004442 227277775 400008884 454555550 500011105 909111100 1000022210 2000044420 2500055525 5000111050 10000222100