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202010221121020 = 22513809960398503
BaseRepresentation
bin101101111011101000101011…
…011110001000110111111100
3222111020222200122022122200021
4231323220223132020313330
5202434213413101333040
61553350114152341524
760356520412030324
oct5573505336106774
9874228618278607
10202010221121020
1159404065477694
121a7a6b263a48a4
138894636281450
1437c54bdb56284
151854b3955724a
hexb7ba2b788dfc

202010221121020 has 48 divisors (see below), whose sum is σ = 457418599485120. Its totient is φ = 74496191003136.

The previous prime is 202010221120987. The next prime is 202010221121029. The reversal of 202010221121020 is 20121122010202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202010221120985 and 202010221121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202010221121029) by changing a digit.

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, 479988912 + ... + 480409591.

It is an arithmetic number, because the mean of its divisors is an integer number (9529554155940).

Almost surely, 2202010221121020 is an apocalyptic number.

202010221121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202010221121020 is an abundant number, since it is smaller than the sum of its proper divisors (255408378364100).

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

202010221121020 is a wasteful number, since it uses less digits than its factorization.

202010221121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960399334 (or 960399332 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202010221121020 its reverse (20121122010202), we get a palindrome (222131343131222).

The spelling of 202010221121020 in words is "two hundred two trillion, ten billion, two hundred twenty-one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 809 1618 3236 4045 8090 10517 16180 21034 42068 52585 105170 210340 960398503 1920797006 3841594012 4801992515 9603985030 12485180539 19207970060 24970361078 49940722156 62425902695 124851805390 249703610780 776962388927 1553924777854 3107849555708 3884811944635 7769623889270 10100511056051 15539247778540 20201022112102 40402044224204 50502555280255 101005110560510 202010221121020