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2002362121540 = 2251110190115307
BaseRepresentation
bin11101001000110110000…
…101010011110101000100
321002102110001121001120001
4131020312011103311010
5230301314200342130
64131512241251044
7264444254130544
oct35106605236504
97072401531501
102002362121540
11702219241750
122840a3033a84
13116a8ba4a021
146ccb448d324
15371455706ca
hex1d236153d44

2002362121540 has 48 divisors (see below), whose sum is σ = 4632647753664. Its totient is φ = 720922448000.

The previous prime is 2002362121523. The next prime is 2002362121603. The reversal of 2002362121540 is 451212632002.

It is a junction number, because it is equal to n+sod(n) for n = 2002362121499 and 2002362121508.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45035434 + ... + 45079873.

It is an arithmetic number, because the mean of its divisors is an integer number (96513494868).

Almost surely, 22002362121540 is an apocalyptic number.

2002362121540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002362121540 is an abundant number, since it is smaller than the sum of its proper divisors (2630285632124).

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

2002362121540 is a wasteful number, since it uses less digits than its factorization.

2002362121540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90115428 (or 90115426 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 2002362121540 its reverse (451212632002), we get a palindrome (2453574753542).

The spelling of 2002362121540 in words is "two trillion, two billion, three hundred sixty-two million, one hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 90115307 180230614 360461228 450576535 901153070 991268377 1802306140 1982536754 3965073508 4956341885 9101646007 9912683770 18203292014 19825367540 36406584028 45508230035 91016460070 100118106077 182032920140 200236212154 400472424308 500590530385 1001181060770 2002362121540