Search a number
-
+
13130244111012 = 2237899161191717
BaseRepresentation
bin1011111100010001111110…
…0010010011101010100100
31201111020110021202220020220
42333010133202103222210
53210111214443023022
643531541215524340
72523425455312560
oct277043742235244
951436407686226
1013130244111012
114202561550066
1215808902296b0
1374323b2c0022
14335715ab66a0
1517b833b6985c
hexbf11f893aa4

13130244111012 has 96 divisors (see below), whose sum is σ = 35411449570560. Its totient is φ = 3708922398720.

The previous prime is 13130244110989. The next prime is 13130244111031. The reversal of 13130244111012 is 21011144203131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68391778 + ... + 68583494.

It is an arithmetic number, because the mean of its divisors is an integer number (368869266360).

Almost surely, 213130244111012 is an apocalyptic number.

13130244111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130244111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17705724785280).

13130244111012 is an abundant number, since it is smaller than the sum of its proper divisors (22281205459548).

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

13130244111012 is a wasteful number, since it uses less digits than its factorization.

13130244111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200981 (or 200979 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 13130244111012 its reverse (21011144203131), we get a palindrome (34141388314143).

The spelling of 13130244111012 in words is "thirteen trillion, one hundred thirty billion, two hundred forty-four million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1869 2492 3738 7476 9161 18322 27483 36644 54966 64127 109932 128254 191717 192381 256508 383434 384762 575151 766868 769524 815329 1150302 1342019 1630658 2300604 2445987 2684038 3261316 4026057 4891974 5368076 5707303 8052114 9783948 11414606 16104228 17062813 17121909 22829212 34125626 34243818 51188439 68251252 68487636 102376878 119439691 204753756 238879382 358319073 477758764 716638146 1433276292 1756319437 3512638874 5268958311 7025277748 10537916622 12294236059 21075833244 24588472118 36882708177 49176944236 73765416354 147530832708 156312429893 312624859786 468937289679 625249719572 937874579358 1094187009251 1875749158716 2188374018502 3282561027753 4376748037004 6565122055506 13130244111012