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200331330330313 = 72132584912166501
BaseRepresentation
bin101101100011001101000101…
…110010000001111011001001
3222021022111011212002202210201
4231203031011302001323021
5202224212031031032223
61550022535340212201
760124314055542100
oct5543150562017311
9867274155082721
10200331330330313
1158917049387516
121a57567923a061
1387a2217c79c80
143768133b49037
151826127058ead
hexb63345c81ec9

200331330330313 has 24 divisors (see below), whose sum is σ = 250974253206600. Its totient is φ = 158497764768000.

The previous prime is 200331330330269. The next prime is 200331330330409. The reversal of 200331330330313 is 313033033133002.

It can be written as a sum of positive squares in 4 ways, for example, as 863388480969 + 199467941849344 = 929187^2 + 14123312^2 .

It is a de Polignac number, because none of the positive numbers 2k-200331330330313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200331330334313) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10382563 + ... + 22549063.

It is an arithmetic number, because the mean of its divisors is an integer number (10457260550275).

Almost surely, 2200331330330313 is an apocalyptic number.

It is an amenable number.

200331330330313 is a deficient number, since it is larger than the sum of its proper divisors (50642922876287).

200331330330313 is a wasteful number, since it uses less digits than its factorization.

200331330330313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12192377 (or 12192370 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 28.

Adding to 200331330330313 its reverse (313033033133002), we get a palindrome (513364363463315).

The spelling of 200331330330313 in words is "two hundred trillion, three hundred thirty-one billion, three hundred thirty million, three hundred thirty thousand, three hundred thirteen".

Divisors: 1 7 13 49 91 637 25849 180943 336037 1266601 2352259 12166501 16465813 85165507 158164513 596158549 1107151591 7750061137 314491884349 2201443190443 4088394496537 15410102333101 28618761475759 200331330330313