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202020120200020 = 225291071013252169
BaseRepresentation
bin101101111011110001111001…
…100000001000001101010100
3222111021221020112011222012211
4231323301321200020031110
5202434344201232400040
61553354432332123204
760360320622563053
oct5573617140101524
9874257215158184
10202020120200020
1159408285221211
121a7a8a29606504
138895553094b45
1437c5b7c72839a
15185501862c8ea
hexb7bc79808354

202020120200020 has 48 divisors (see below), whose sum is σ = 438875528288400. Its totient is φ = 78020811187200.

The previous prime is 202020120199999. The next prime is 202020120200071. The reversal of 202020120200020 is 20002021020202.

It can be written as a sum of positive squares in 8 ways, for example, as 2043075727044 + 199977044472976 = 1429362^2 + 14141324^2 .

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 60492496 + ... + 63744664.

It is an arithmetic number, because the mean of its divisors is an integer number (9143240172675).

Almost surely, 2202020120200020 is an apocalyptic number.

202020120200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202020120200020 is an abundant number, since it is smaller than the sum of its proper divisors (236855408088380).

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

202020120200020 is a wasteful number, since it uses less digits than its factorization.

202020120200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359308 (or 3359306 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 202020120200020 its reverse (20002021020202), we get a palindrome (222022141220222).

The spelling of 202020120200020 in words is "two hundred two trillion, twenty billion, one hundred twenty million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 107101 214202 428404 535505 1071010 2142020 3105929 3252169 6211858 6504338 12423716 13008676 15529645 16260845 31059290 32521690 62118580 65043380 94312901 188625802 377251604 471564505 943129010 1886258020 348310552069 696621104138 1393242208276 1741552760345 3483105520690 6966211041380 10101006010001 20202012020002 40404024040004 50505030050005 101010060100010 202020120200020