Search a number
-
+
13200831924 = 22371571000973
BaseRepresentation
bin11000100101101010…
…01011010110110100
31021001222200202001220
430102311023112310
5204013403110144
610021523350340
7645062135310
oct142265132664
937058622056
1013200831924
115664586455
122684b223b0
131324b8a867
148d32c6b40
15523dc2919
hex312d4b5b4

13200831924 has 48 divisors (see below), whose sum is σ = 35426471808. Its totient is φ = 3747639168.

The previous prime is 13200831911. The next prime is 13200832013. The reversal of 13200831924 is 42913800231.

13200831924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×132008319243 (a number of 31 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 487299 + ... + 513674.

It is an arithmetic number, because the mean of its divisors is an integer number (738051496).

Almost surely, 213200831924 is an apocalyptic number.

13200831924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13200831924 is an abundant number, since it is smaller than the sum of its proper divisors (22225639884).

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

13200831924 is a wasteful number, since it uses less digits than its factorization.

13200831924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001144 (or 1001142 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 13200831924 in words is "thirteen billion, two hundred million, eight hundred thirty-one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 157 314 471 628 942 1099 1884 2198 3297 4396 6594 13188 1000973 2001946 3002919 4003892 6005838 7006811 12011676 14013622 21020433 28027244 42040866 84081732 157152761 314305522 471458283 628611044 942916566 1100069327 1885833132 2200138654 3300207981 4400277308 6600415962 13200831924