Search a number
-
+
13531513341 = 3172379146023
BaseRepresentation
bin11001001101000101…
…01000000111111101
31021221000221002200210
430212202220013331
5210203031411331
610114415143033
7656215652133
oct144642500775
937830832623
1013531513341
115814206285
122757814a79
13137853b838
149251a5753
15542e42446
hex3268a81fd

13531513341 has 32 divisors (see below), whose sum is σ = 20186357760. Its totient is φ = 8018360064.

The previous prime is 13531513313. The next prime is 13531513343. The reversal of 13531513341 is 14331513531.

13531513341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13531513341 - 29 = 13531512829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13531513299 and 13531513308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531513343) 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 31 ways as a sum of consecutive naturals, for example, 19656 + ... + 165678.

It is an arithmetic number, because the mean of its divisors is an integer number (630823680).

Almost surely, 213531513341 is an apocalyptic number.

It is an amenable number.

13531513341 is a deficient number, since it is larger than the sum of its proper divisors (6654844419).

13531513341 is a wasteful number, since it uses less digits than its factorization.

13531513341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146145.

The product of its digits is 8100, while the sum is 30.

The spelling of 13531513341 in words is "thirteen billion, five hundred thirty-one million, five hundred thirteen thousand, three hundred forty-one".

Divisors: 1 3 17 23 51 69 79 237 391 1173 1343 1817 4029 5451 30889 92667 146023 438069 2482391 3358529 7447173 10075587 11535817 34607451 57094993 171284979 196108889 265323791 588326667 795971373 4510504447 13531513341