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2003200200020 = 225181553370221
BaseRepresentation
bin11101001001101000000…
…010010100110101010100
321002111121110120212002202
4131021220002110311110
5230310023222400040
64132131340224032
7264504111520205
oct35115002246524
97074543525082
102003200200020
11702609320498
1228429783b018
13116b93572c56
146cd538cb5ac
1537193e1a015
hex1d268094d54

2003200200020 has 24 divisors (see below), whose sum is σ = 4229961976968. Its totient is φ = 796853116800.

The previous prime is 2003200200019. The next prime is 2003200200031. The reversal of 2003200200020 is 200020023002.

It can be written as a sum of positive squares in 4 ways, for example, as 199062314896 + 1804137885124 = 446164^2 + 1343182^2 .

It is a super-2 number, since 2×20032002000202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2003200199974 and 2003200200010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276681491 + ... + 276688730.

It is an arithmetic number, because the mean of its divisors is an integer number (176248415707).

Almost surely, 22003200200020 is an apocalyptic number.

2003200200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003200200020 is an abundant number, since it is smaller than the sum of its proper divisors (2226761776948).

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

2003200200020 is a wasteful number, since it uses less digits than its factorization.

2003200200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553370411 (or 553370409 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

Adding to 2003200200020 its reverse (200020023002), we get a palindrome (2203220223022).

The spelling of 2003200200020 in words is "two trillion, three billion, two hundred million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 553370221 1106740442 2213480884 2766851105 5533702210 11067404420 100160010001 200320020002 400640040004 500800050005 1001600100010 2003200200020