Search a number
-
+
13005242231 = 671151168643
BaseRepresentation
bin11000001110010110…
…00011111101110111
31020120100122202110012
430013023003331313
5203113320222411
65550255250435
7640165510052
oct140713037567
936510582405
1013005242231
115574135a83
12262b519a1b
1312c34b8b07
148b5331a99
15511b3a18b
hex3072c3f77

13005242231 has 8 divisors (see below), whose sum is σ = 13210896384. Its totient is φ = 12799927800.

The previous prime is 13005242203. The next prime is 13005242251. The reversal of 13005242231 is 13224250031.

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-13005242231 is a prime.

It is a super-2 number, since 2×130052422312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13005242197 and 13005242206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005242251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7205 + ... + 161438.

It is an arithmetic number, because the mean of its divisors is an integer number (1651362048).

Almost surely, 213005242231 is an apocalyptic number.

13005242231 is a deficient number, since it is larger than the sum of its proper divisors (205654153).

13005242231 is a wasteful number, since it uses less digits than its factorization.

13005242231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169861.

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 13005242231 its reverse (13224250031), we get a palindrome (26229492262).

The spelling of 13005242231 in words is "thirteen billion, five million, two hundred forty-two thousand, two hundred thirty-one".

Divisors: 1 67 1151 77117 168643 11299081 194108093 13005242231