Search a number
-
+
200302013133220 = 22517776095634029
BaseRepresentation
bin101101100010110001110010…
…010101110011000110100100
3222021012200111200121211221011
4231202301302111303012210
5202223222010330230340
61550001250255032004
760122225416511215
oct5542616225630644
9867180450554834
10200302013133220
1158905674607409
121a56ba56b0b604
13879c5251b287b
14376695227d40c
1518254ad3570ea
hexb62c725731a4

200302013133220 has 24 divisors (see below), whose sum is σ = 420634538868600. Its totient is φ = 80120745960192.

The previous prime is 200302013133193. The next prime is 200302013133259. The reversal of 200302013133220 is 22331310203002.

It can be written as a sum of positive squares in 4 ways, for example, as 23795430339136 + 176506582794084 = 4878056^2 + 13285578^2 .

It is a super-2 number, since 2×2003020131332202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200302013133191 and 200302013133200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32735166 + ... + 38369194.

It is an arithmetic number, because the mean of its divisors is an integer number (17526439119525).

Almost surely, 2200302013133220 is an apocalyptic number.

200302013133220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200302013133220 is an abundant number, since it is smaller than the sum of its proper divisors (220332525735380).

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

200302013133220 is a wasteful number, since it uses less digits than its factorization.

200302013133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7411647 (or 7411645 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 200302013133220 its reverse (22331310203002), we get a palindrome (222633323336222).

The spelling of 200302013133220 in words is "two hundred trillion, three hundred two billion, thirteen million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1777609 3555218 5634029 7110436 8888045 11268058 17776090 22536116 28170145 35552180 56340290 112680580 10015100656661 20030201313322 40060402626644 50075503283305 100151006566610 200302013133220