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220202010000100 = 22523376534184273
BaseRepresentation
bin110010000100010111000110…
…100101011011101011100100
31001212200002212200112211111201
4302010113012211123223210
5212330242204030000400
62100155223515012244
764245033041115142
oct6204270645335344
91055602780484451
10220202010000100
1164188169a99397
122084475b73a084
1395b3c6412aa4b
143c53b96ca2592
151a6ce5da8506a
hexc845c695bae4

220202010000100 has 36 divisors (see below), whose sum is σ = 479256279760804. Its totient is φ = 87819436615680.

The previous prime is 220202010000047. The next prime is 220202010000131. The reversal of 220202010000100 is 1000010202022.

It can be written as a sum of positive squares in 6 ways, for example, as 58809174413796 + 161392835586304 = 7668714^2 + 12704048^2 .

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

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, 3267058437 + ... + 3267125836.

Almost surely, 2220202010000100 is an apocalyptic number.

220202010000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220202010000100 is an abundant number, since it is smaller than the sum of its proper divisors (259054269760704).

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

220202010000100 is a wasteful number, since it uses less digits than its factorization.

220202010000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6534184624 (or 6534184617 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220202010000100 its reverse (1000010202022), we get a palindrome (221202020202122).

The spelling of 220202010000100 in words is "two hundred twenty trillion, two hundred two billion, ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 337 674 1348 1685 3370 6740 8425 16850 33700 6534184273 13068368546 26136737092 32670921365 65341842730 130683685460 163354606825 326709213650 653418427300 2202020100001 4404040200002 8808080400004 11010100500005 22020201000010 44040402000020 55050502500025 110101005000050 220202010000100