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2002020201220 = 225132592313669
BaseRepresentation
bin11101001000100001101…
…100111111001100000100
321002101120020012201001111
4131020201230333030010
5230300114132414340
64131414304534404
7264432632634364
oct35104154771404
97071506181044
102002020201220
11702063235976
12284008621404
13116a35c62600
146cc80cc69a4
1537125530aea
hex1d221b3f304

2002020201220 has 36 divisors (see below), whose sum is σ = 4552522867620. Its totient is φ = 739207457664.

The previous prime is 2002020201211. The next prime is 2002020201229. The reversal of 2002020201220 is 221020202002.

It is an interprime number because it is at equal distance from previous prime (2002020201211) and next prime (2002020201229).

It can be written as a sum of positive squares in 6 ways, for example, as 180346307584 + 1821673893636 = 424672^2 + 1349694^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2002020201220.

It is not an unprimeable number, because it can be changed into a prime (2002020201229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296153455 + ... + 296160214.

It is an arithmetic number, because the mean of its divisors is an integer number (126458968545).

Almost surely, 22002020201220 is an apocalyptic number.

2002020201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002020201220 is an abundant number, since it is smaller than the sum of its proper divisors (2550502666400).

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

2002020201220 is a wasteful number, since it uses less digits than its factorization.

2002020201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592313704 (or 592313689 counting only the distinct ones).

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

Adding to 2002020201220 its reverse (221020202002), we get a palindrome (2223040403222).

The spelling of 2002020201220 in words is "two trillion, two billion, twenty million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 592313669 1184627338 2369254676 2961568345 5923136690 7700077697 11846273380 15400155394 30800310788 38500388485 77000776970 100101010061 154001553940 200202020122 400404040244 500505050305 1001010100610 2002020201220