Search a number
-
+
13032022130120 = 2357148331384313
BaseRepresentation
bin1011110110100100000100…
…0011001011110111001000
31201010211221000210021200202
42331221001003023313020
53202004040131130440
643414454525551332
72513350441252340
oct275510103136710
951124830707622
1013032022130120
114174938826044
121565839a15548
13736bb6c756c6
14330a78c49d20
15178ed5a95615
hexbda410cbdc8

13032022130120 has 64 divisors (see below), whose sum is σ = 33533511822720. Its totient is φ = 4465108836864.

The previous prime is 13032022130117. The next prime is 13032022130161. The reversal of 13032022130120 is 2103122023031.

It is a super-2 number, since 2×130320221301202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13032022130092 and 13032022130101.

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, 15276917 + ... + 16107396.

It is an arithmetic number, because the mean of its divisors is an integer number (523961122230).

Almost surely, 213032022130120 is an apocalyptic number.

13032022130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13032022130120 is an abundant number, since it is smaller than the sum of its proper divisors (20501489692600).

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

13032022130120 is a wasteful number, since it uses less digits than its factorization.

13032022130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31385814 (or 31385810 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13032022130120 its reverse (2103122023031), we get a palindrome (15135144153151).

The spelling of 13032022130120 in words is "thirteen trillion, thirty-two billion, twenty-two million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1483 2966 5932 7415 10381 11864 14830 20762 29660 41524 51905 59320 83048 103810 207620 415240 31384313 62768626 125537252 156921565 219690191 251074504 313843130 439380382 627686260 878760764 1098450955 1255372520 1757521528 2196901910 4393803820 8787607640 46542936179 93085872358 186171744716 232714680895 325800553253 372343489432 465429361790 651601106506 930858723580 1303202213012 1629002766265 1861717447160 2606404426024 3258005532530 6516011065060 13032022130120