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200200312031013 = 3374222872508391
BaseRepresentation
bin101101100001010011000100…
…011110111000011100100101
3222020211221222222001120011000
4231201103010132320130211
5202220040214334443023
61545442430443303513
760111665235430110
oct5541230436703445
9866757888046130
10200200312031013
1158876525a26018
121a5541b351ab99
138792a6812bc98
143761a6532b577
151822a09aec243
hexb614c47b8725

200200312031013 has 32 divisors (see below), whose sum is σ = 338964429086720. Its totient is φ = 114399861790320.

The previous prime is 200200312030991. The next prime is 200200312031081. The reversal of 200200312031013 is 310130213002002.

200200312031013 is a `hidden beast` number, since 20 + 0 + 20 + 0 + 312 + 0 + 310 + 1 + 3 = 666.

It is not a de Polignac number, because 200200312031013 - 210 = 200200312029989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200200312032013) 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 31 ways as a sum of consecutive naturals, for example, 78558048 + ... + 81066438.

It is an arithmetic number, because the mean of its divisors is an integer number (10592638408960).

Almost surely, 2200200312031013 is an apocalyptic number.

It is an amenable number.

200200312031013 is a deficient number, since it is larger than the sum of its proper divisors (138764117055707).

200200312031013 is a wasteful number, since it uses less digits than its factorization.

200200312031013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930694 (or 2930688 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 200200312031013 its reverse (310130213002002), we get a palindrome (510330525033015).

The spelling of 200200312031013 in words is "two hundred trillion, two hundred billion, three hundred twelve million, thirty-one thousand, thirteen".

Divisors: 1 3 7 9 21 27 63 189 422287 1266861 2508391 2956009 3800583 7525173 8868027 11401749 17558737 22575519 26604081 52676211 67726557 79812243 158028633 474085899 1059260910217 3177782730651 7414826371519 9533348191953 22244479114557 28600044575859 66733437343671 200200312031013