Search a number
-
+
13102032313 = 83389405799
BaseRepresentation
bin11000011001111000…
…10010010110111001
31020211002210012111001
430030330102112321
5203313110013223
610004034005001
7642452302636
oct141474222671
936732705431
1013102032313
115613834887
122657a16761
13130a577556
148c412918d
1551a3a89ad
hex30cf125b9

13102032313 has 8 divisors (see below), whose sum is σ = 13294008000. Its totient is φ = 12910869168.

The previous prime is 13102032299. The next prime is 13102032323. The reversal of 13102032313 is 31323020131.

13102032313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13102032313 is a prime.

It is a super-2 number, since 2×131020323132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13102032323) 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 7 ways as a sum of consecutive naturals, for example, 170613 + ... + 235186.

It is an arithmetic number, because the mean of its divisors is an integer number (1661751000).

Almost surely, 213102032313 is an apocalyptic number.

It is an amenable number.

13102032313 is a deficient number, since it is larger than the sum of its proper divisors (191975687).

13102032313 is an equidigital number, since it uses as much as digits as its factorization.

13102032313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406271.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13102032313 its reverse (31323020131), we get a palindrome (44425052444).

The spelling of 13102032313 in words is "thirteen billion, one hundred two million, thirty-two thousand, three hundred thirteen".

Divisors: 1 83 389 32287 405799 33681317 157855811 13102032313