Search a number
-
+
13113144403304 = 231110111981123143
BaseRepresentation
bin1011111011010010010001…
…0100000110010101101000
31201102121022120122202002012
42332310210110012111220
53204321204431401204
643520032333455052
72522251641224411
oct276644424062550
951377276582065
1013113144403304
1141a628717a620
1215794b9641488
1374174475919a
14334972a80808
1517b18284976e
hexbed24506568

13113144403304 has 64 divisors (see below), whose sum is σ = 27090389450880. Its totient is φ = 5900964640000.

The previous prime is 13113144403297. The next prime is 13113144403339. The reversal of 13113144403304 is 40330444131131.

It is a super-2 number, since 2×131131444033042 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106425557 + ... + 106548699.

It is an arithmetic number, because the mean of its divisors is an integer number (423287335170).

Almost surely, 213113144403304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13113144403304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13545194725440).

13113144403304 is an abundant number, since it is smaller than the sum of its proper divisors (13977245047576).

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

13113144403304 is a wasteful number, since it uses less digits than its factorization.

13113144403304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135242 (or 135238 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 13113144403304 its reverse (40330444131131), we get a palindrome (53443588534435).

The spelling of 13113144403304 in words is "thirteen trillion, one hundred thirteen billion, one hundred forty-four million, four hundred three thousand, three hundred four".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 4444 8888 11981 23962 47924 95848 123143 131791 246286 263582 492572 527164 985144 1054328 1210081 1354573 2420162 2709146 4840324 5418292 9680648 10836584 12437443 13310891 24874886 26621782 49749772 53243564 99499544 106487128 136811873 273623746 547247492 1094494984 1475376283 2950752566 5901505132 11803010264 16229139113 32458278226 64916556452 129833112904 149013004583 298026009166 596052018332 1192104036664 1639143050413 3278286100826 6556572201652 13113144403304