Search a number
-
+
13331103132 = 223113127199389
BaseRepresentation
bin11000110101001100…
…00111110110011100
31021102001211012120110
430122212013312130
5204300230300012
610042455450020
7651233335614
oct143246076634
937361735513
1013331103132
115721073106
122700686910
131345b6c909
14906717a44
1553055673c
hex31a987d9c

13331103132 has 96 divisors (see below), whose sum is σ = 31868928000. Its totient is φ = 4336561152.

The previous prime is 13331103131. The next prime is 13331103157. The reversal of 13331103132 is 23130113331.

It is a junction number, because it is equal to n+sod(n) for n = 13331103099 and 13331103108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331103131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34269994 + ... + 34270382.

It is an arithmetic number, because the mean of its divisors is an integer number (331968000).

Almost surely, 213331103132 is an apocalyptic number.

13331103132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13331103132 is an abundant number, since it is smaller than the sum of its proper divisors (18537824868).

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

13331103132 is a wasteful number, since it uses less digits than its factorization.

13331103132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13331103132 its reverse (23130113331), we get a palindrome (36461216463).

The spelling of 13331103132 in words is "thirteen billion, three hundred thirty-one million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 113 127 199 226 254 339 381 389 398 452 508 597 678 762 778 796 1167 1194 1356 1524 1556 2334 2388 4668 14351 22487 25273 28702 43053 43957 44974 49403 50546 57404 67461 75819 77411 86106 87914 89948 98806 101092 131871 134922 148209 151638 154822 172212 175828 197612 232233 263742 269844 296418 303276 309644 464466 527484 592836 928932 2855849 5582539 5711698 8567547 8747443 9831197 11165078 11423396 16747617 17135094 17494886 19662394 22330156 26242329 29493591 33495234 34270188 34989772 39324788 52484658 58987182 66990468 104969316 117974364 1110925261 2221850522 3332775783 4443701044 6665551566 13331103132