Search a number
-
+
13204320102 = 23223831492579
BaseRepresentation
bin11000100110000100…
…11110111101100110
31021002020020221221200
430103002132331212
5204020301220402
610022130223330
7645133604031
oct142302367546
937066227850
1013204320102
115666549146
122686124b46
13132580c47c
148d3954018
1552436121c
hex31309ef66

13204320102 has 96 divisors (see below), whose sum is σ = 30427488000. Its totient is φ = 4129832256.

The previous prime is 13204320089. The next prime is 13204320109. The reversal of 13204320102 is 20102340231.

13204320102 is a `hidden beast` number, since 132 + 0 + 432 + 0 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13204320109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5118649 + ... + 5121227.

It is an arithmetic number, because the mean of its divisors is an integer number (316953000).

Almost surely, 213204320102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13204320102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213744000).

13204320102 is an abundant number, since it is smaller than the sum of its proper divisors (17223167898).

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

13204320102 is a wasteful number, since it uses less digits than its factorization.

13204320102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13204320102 its reverse (20102340231), we get a palindrome (33306660333).

The spelling of 13204320102 in words is "thirteen billion, two hundred four million, three hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 83 138 149 166 207 249 298 414 447 498 747 894 1341 1494 1909 2579 2682 3427 3818 5158 5727 6854 7737 10281 11454 12367 15474 17181 20562 23211 24734 30843 34362 37101 46422 59317 61686 74202 111303 118634 177951 214057 222606 284441 355902 384271 428114 533853 568882 642171 768542 853323 1067706 1152813 1284342 1706646 1926513 2305626 2559969 3458439 3853026 4923311 5119938 6916878 8838233 9846622 14769933 17676466 26514699 29539866 31894493 44309799 53029398 63788986 79544097 88619598 95683479 159088194 191366958 287050437 574100874 733573339 1467146678 2200720017 4401440034 6602160051 13204320102