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13131011304 = 2333193314983
BaseRepresentation
bin11000011101010101…
…10101010011101000
31020220010022111012000
430032222311103220
5203343014330204
610010551051000
7643253516535
oct141652652350
936803274160
1013131011304
115629128164
122665670a60
131313582898
148c7d0dd8c
1551cbd0039
hex30eab54e8

13131011304 has 64 divisors (see below), whose sum is σ = 36664137600. Its totient is φ = 4354311168.

The previous prime is 13131011303. The next prime is 13131011339. The reversal of 13131011304 is 40311013131.

13131011304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13131011303) by changing a digit.

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, 115804 + ... + 199179.

It is an arithmetic number, because the mean of its divisors is an integer number (572877150).

Almost surely, 213131011304 is an apocalyptic number.

It is an amenable number.

13131011304 is an abundant number, since it is smaller than the sum of its proper divisors (23533126296).

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

13131011304 is a wasteful number, since it uses less digits than its factorization.

13131011304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315191 (or 315181 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13131011304 its reverse (40311013131), we get a palindrome (53442024435).

The spelling of 13131011304 in words is "thirteen billion, one hundred thirty-one million, eleven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 193 216 386 579 772 1158 1544 1737 2316 3474 4632 5211 6948 10422 13896 20844 41688 314983 629966 944949 1259932 1889898 2519864 2834847 3779796 5669694 7559592 8504541 11339388 17009082 22678776 34018164 60791719 68036328 121583438 182375157 243166876 364750314 486333752 547125471 729500628 1094250942 1459001256 1641376413 2188501884 3282752826 4377003768 6565505652 13131011304