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202012001001020 = 2257329447813557
BaseRepresentation
bin101101111011101010010101…
…100011110101111000111100
3222111021011021200110221000202
4231323222111203311320330
5202434231034224013040
61553351010533343032
760356612463536000
oct5573522543657074
9874234250427022
10202012001001020
11594048991398a1
121a7a7342497a78
13889485ac48592
1437c560c2b2700
151854be0939015
hexb7ba958f5e3c

202012001001020 has 48 divisors (see below), whose sum is σ = 494723267774400. Its totient is φ = 69261257483712.

The previous prime is 202012001001017. The next prime is 202012001001037. The reversal of 202012001001020 is 20100100210202.

It is a happy number.

202012001001020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2020120010010202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202012001000992 and 202012001001010.

It is a congruent number.

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, 14723899919 + ... + 14723913638.

It is an arithmetic number, because the mean of its divisors is an integer number (10306734745300).

Almost surely, 2202012001001020 is an apocalyptic number.

202012001001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202012001001020 is an abundant number, since it is smaller than the sum of its proper divisors (292711266773380).

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

202012001001020 is a wasteful number, since it uses less digits than its factorization.

202012001001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29447813587 (or 29447813571 counting only the distinct ones).

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

Adding to 202012001001020 its reverse (20100100210202), we get a palindrome (222112101211222).

The spelling of 202012001001020 in words is "two hundred two trillion, twelve billion, one million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 6860 29447813557 58895627114 117791254228 147239067785 206134694899 294478135570 412269389798 588956271140 824538779596 1030673474495 1442942864293 2061346948990 2885885728586 4122693897980 5771771457172 7214714321465 10100600050051 14429428642930 20201200100102 28858857285860 40402400200204 50503000250255 101006000500510 202012001001020