Search a number
-
+
13243091620031 = 721320789782763
BaseRepresentation
bin1100000010110110010111…
…0001011001000010111111
31201220000201211021022122222
43000231211301121002333
53213433322423320111
644055443045355555
72534532104312600
oct300554561310277
951800654238588
1013243091620031
1142463aaa77909
12159a724708bbb
13750a8370c7c0
1433ad7d129da7
1517e73ac337db
hexc0b65c590bf

13243091620031 has 12 divisors (see below), whose sum is σ = 16590246645672. Its totient is φ = 10478050512048.

The previous prime is 13243091619991. The next prime is 13243091620067. The reversal of 13243091620031 is 13002619034231.

13243091620031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13243091620031 is a prime.

It is a super-2 number, since 2×132430916200312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13243091619973 and 13243091620000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13243091620331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10394890745 + ... + 10394892018.

It is an arithmetic number, because the mean of its divisors is an integer number (1382520553806).

Almost surely, 213243091620031 is an apocalyptic number.

13243091620031 is a deficient number, since it is larger than the sum of its proper divisors (3347155025641).

13243091620031 is a wasteful number, since it uses less digits than its factorization.

13243091620031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20789782790 (or 20789782783 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 13243091620031 in words is "thirteen trillion, two hundred forty-three billion, ninety-one million, six hundred twenty thousand, thirty-one".

Divisors: 1 7 13 49 91 637 20789782763 145528479341 270267175919 1018699355387 1891870231433 13243091620031