Search a number
-
+
13104521740 = 225172910113159
BaseRepresentation
bin11000011010001011…
…10010001000001100
31020211021110200100001
430031011302020030
5203314224143430
610004203214044
7642512411512
oct141505621014
936737420301
1013104521740
115615185162
122658817324
13130ac3969b
148c45b64b2
1551a6eb3ca
hex30d17220c

13104521740 has 96 divisors (see below), whose sum is σ = 30443817600. Its totient is φ = 4715827200.

The previous prime is 13104521737. The next prime is 13104521741. The reversal of 13104521740 is 4712540131.

It is a junction number, because it is equal to n+sod(n) for n = 13104521699 and 13104521708.

It is not an unprimeable number, because it can be changed into a prime (13104521741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 989281 + ... + 1002439.

It is an arithmetic number, because the mean of its divisors is an integer number (317123100).

Almost surely, 213104521740 is an apocalyptic number.

13104521740 is a gapful number since it is divisible by the number (10) 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 13104521740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15221908800).

13104521740 is an abundant number, since it is smaller than the sum of its proper divisors (17339295860).

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

13104521740 is a wasteful number, since it uses less digits than its factorization.

13104521740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13315 (or 13313 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 13104521740 in words is "thirteen billion, one hundred four million, five hundred twenty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 101 116 145 170 202 290 340 404 493 505 580 986 1010 1717 1972 2020 2465 2929 3434 4930 5858 6868 8585 9860 11716 13159 14645 17170 26318 29290 34340 49793 52636 58580 65795 99586 131590 199172 223703 248965 263180 381611 447406 497930 763222 894812 995860 1118515 1329059 1526444 1908055 2237030 2658118 3816110 4474060 5316236 6487387 6645295 7632220 12974774 13290590 22594003 25949548 26581180 32436935 38542711 45188006 64873870 77085422 90376012 112970015 129747740 154170844 192713555 225940030 385427110 451880060 655226087 770854220 1310452174 2620904348 3276130435 6552260870 13104521740