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202020211221100 = 2252101199310036127
BaseRepresentation
bin101101111011110001111110…
…111011010110001001101100
3222111021221110212110022122221
4231323301332323112021230
5202434344343033033400
61553354445343045124
760360323106340456
oct5573617673261154
9874257425408587
10202020211221100
115940832163a748
121a7a8a53ba07a4
138895568bb377c
1437c5b8a85d2d6
15185502160bc1a
hexb7bc7eed626c

202020211221100 has 72 divisors (see below), whose sum is σ = 442946476361088. Its totient is φ = 79967851968000.

The previous prime is 202020211221077. The next prime is 202020211221119. The reversal of 202020211221100 is 1122112020202.

It is a happy 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, 15111237 + ... + 25147363.

It is an arithmetic number, because the mean of its divisors is an integer number (6152034393904).

Almost surely, 2202020211221100 is an apocalyptic number.

202020211221100 is a gapful number since it is divisible by the number (20) 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 202020211221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221473238180544).

202020211221100 is an abundant number, since it is smaller than the sum of its proper divisors (240926265139988).

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

202020211221100 is a wasteful number, since it uses less digits than its factorization.

202020211221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10038235 (or 10038228 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202020211221100 its reverse (1122112020202), we get a palindrome (203142323241302).

The spelling of 202020211221100 in words is "two hundred two trillion, twenty billion, two hundred eleven million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 1993 2020 2525 3986 5050 7972 9965 10100 19930 39860 49825 99650 199300 201293 402586 805172 1006465 2012930 4025860 5032325 10036127 10064650 20072254 20129300 40144508 50180635 100361270 200722540 250903175 501806350 1003612700 1013648827 2027297654 4054595308 5068244135 10136488270 20002001111 20272976540 25341220675 40004002222 50682441350 80008004444 100010005555 101364882700 200020011110 400040022220 500050027775 1000100055550 2000200111100 2020202112211 4040404224422 8080808448844 10101010561055 20202021122110 40404042244220 50505052805275 101010105610550 202020211221100