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2002221102020 = 225975411907713
BaseRepresentation
bin11101001000101101101…
…011010111001111000100
321002102002020020112010212
4131020231223113033010
5230301022100231040
64131450242534552
7264440622363116
oct35105553271704
97072066215125
102002221102020
11702156683697
12284063967458
13116a68773919
146cc9d8613b6
1537137eb6d65
hex1d22dad73c4

2002221102020 has 48 divisors (see below), whose sum is σ = 4255865746608. Its totient is φ = 791166320640.

The previous prime is 2002221101989. The next prime is 2002221102023. The reversal of 2002221102020 is 202011222002.

It can be written as a sum of positive squares in 8 ways, for example, as 447197137984 + 1555023964036 = 668728^2 + 1247006^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2002221101986 and 2002221102004.

It is not an unprimeable number, because it can be changed into a prime (2002221102023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95684 + ... + 2003396.

It is an arithmetic number, because the mean of its divisors is an integer number (88663869721).

Almost surely, 22002221102020 is an apocalyptic number.

2002221102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002221102020 is an abundant number, since it is smaller than the sum of its proper divisors (2253644644588).

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

2002221102020 is a wasteful number, since it uses less digits than its factorization.

2002221102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908360 (or 1908358 counting only the distinct ones).

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

Adding to 2002221102020 its reverse (202011222002), we get a palindrome (2204232324022).

The spelling of 2002221102020 in words is "two trillion, two billion, two hundred twenty-one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 97 194 388 485 541 970 1082 1940 2164 2705 5410 10820 52477 104954 209908 262385 524770 1049540 1907713 3815426 7630852 9538565 19077130 38154260 185048161 370096322 740192644 925240805 1032072733 1850481610 2064145466 3700963220 4128290932 5160363665 10320727330 20641454660 100111055101 200222110202 400444220404 500555275505 1001110551010 2002221102020