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20212012002020 = 2257367012065937
BaseRepresentation
bin1001001100001111110011…
…10010111010101011100100
32122120020201212110010011212
410212013321302322223210
510122123200033031040
6110553134203050552
74154161333220636
oct446077162725344
978506655403155
1020212012002020
116492958938133
122325281b10a58
13b37ca50aa5c7
144dc3a37a2a56
15250b62b4bd65
hex1261f9cbaae4

20212012002020 has 48 divisors (see below), whose sum is σ = 43033108407408. Its totient is φ = 7972860211200.

The previous prime is 20212012001963. The next prime is 20212012002031. The reversal of 20212012002020 is 2020021021202.

It can be written as a sum of positive squares in 8 ways, for example, as 233489971264 + 19978522030756 = 483208^2 + 4469734^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20212012001986 and 20212012002004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8750492 + ... + 10816428.

It is an arithmetic number, because the mean of its divisors is an integer number (896523091821).

Almost surely, 220212012002020 is an apocalyptic number.

20212012002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212012002020 is an abundant number, since it is smaller than the sum of its proper divisors (22821096405388).

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

20212012002020 is a wasteful number, since it uses less digits than its factorization.

20212012002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072720 (or 2072718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20212012002020 its reverse (2020021021202), we get a palindrome (22232033023222).

The spelling of 20212012002020 in words is "twenty trillion, two hundred twelve billion, twelve million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 6701 13402 26804 33505 67010 134020 489173 978346 1956692 2065937 2445865 4131874 4891730 8263748 9783460 10329685 20659370 41318740 150813401 301626802 603253604 754067005 1508134010 3016268020 13843843837 27687687674 55375375348 69219219185 138438438370 276876876740 1010600600101 2021201200202 4042402400404 5053003000505 10106006001010 20212012002020