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202021010010020 = 225409210011175989
BaseRepresentation
bin101101111011110010101110…
…100010011110111110100100
3222111022000112112112000001202
4231323302232202132332210
5202434403012030310040
61553355100515542032
760360351646051235
oct5573625642367644
9874260475460052
10202021010010020
11594086a1523683
121a7a90375ba918
138895665531336
1437c5c2499108c
15185506b7e5015
hexb7bcae89efa4

202021010010020 has 48 divisors (see below), whose sum is σ = 425302004895600. Its totient is φ = 80606921472000.

The previous prime is 202021010009953. The next prime is 202021010010037. The reversal of 202021010010020 is 20010010120202.

It is a happy number.

202021010010020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2222389229824 + 199798620780196 = 1490768^2 + 14135014^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202021010009983 and 202021010010010.

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 15 ways as a sum of consecutive naturals, for example, 171200186 + ... + 172376174.

It is an arithmetic number, because the mean of its divisors is an integer number (8860458435325).

Almost surely, 2202021010010020 is an apocalyptic number.

202021010010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202021010010020 is an abundant number, since it is smaller than the sum of its proper divisors (223280994885580).

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

202021010010020 is a wasteful number, since it uses less digits than its factorization.

202021010010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197408 (or 1197406 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202021010010020 its reverse (20010010120202), we get a palindrome (222031020130222).

The spelling of 202021010010020 in words is "two hundred two trillion, twenty-one billion, ten million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 409 818 1636 2045 4090 8180 21001 42002 84004 105005 210010 420020 1175989 2351978 4703956 5879945 8589409 11759890 17178818 23519780 34357636 42947045 85894090 171788180 480979501 961959002 1923918004 2404897505 4809795010 9619590020 24696944989 49393889978 98787779956 123484724945 246969449890 493938899780 10101050500501 20202101001002 40404202002004 50505252502505 101010505005010 202021010010020