Search a number
-
+
13032000310 = 257316722751
BaseRepresentation
bin11000010001100010…
…01000101100110110
31020122020000012122011
430020301020230312
5203142143002220
65553052554434
7640642114000
oct141061105466
936566005564
1013032000310
11558825179a
122638482a1a
1312c8bc72b4
148b8ad9370
1551417365a
hex308c48b36

13032000310 has 64 divisors (see below), whose sum is σ = 27520819200. Its totient is φ = 4441164000.

The previous prime is 13032000281. The next prime is 13032000323. The reversal of 13032000310 is 1300023031.

It is a super-2 number, since 2×130320003102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561435 + ... + 584185.

It is an arithmetic number, because the mean of its divisors is an integer number (430012800).

Almost surely, 213032000310 is an apocalyptic number.

13032000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13032000310 is an abundant number, since it is smaller than the sum of its proper divisors (14488818890).

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

13032000310 is a wasteful number, since it uses less digits than its factorization.

13032000310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22946 (or 22932 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13032000310 its reverse (1300023031), we get a palindrome (14332023341).

The spelling of 13032000310 in words is "thirteen billion, thirty-two million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 35 49 70 98 167 245 334 343 490 686 835 1169 1670 1715 2338 3430 5845 8183 11690 16366 22751 40915 45502 57281 81830 113755 114562 159257 227510 286405 318514 572810 796285 1114799 1592570 2229598 3799417 5573995 7598834 7803593 11147990 15607186 18997085 26595919 37994170 39017965 53191838 78035930 132979595 186171433 265959190 372342866 930857165 1303200031 1861714330 2606400062 6516000155 13032000310