Search a number
-
+
13204414020 = 2235759353017
BaseRepresentation
bin11000100110000101…
…10101111001000100
31021002020102201210010
430103002311321010
5204020312222040
610022132230220
7645134444610
oct142302657104
937066381703
1013204414020
115666602766
12268616b370
131325843145
148d397a340
1552437de80
hex3130b5e44

13204414020 has 96 divisors (see below), whose sum is σ = 42326178048. Its totient is φ = 3013005312.

The previous prime is 13204414007. The next prime is 13204414031. The reversal of 13204414020 is 2041440231.

It is a super-2 number, since 2×132044140202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 222552 + ... + 275568.

It is an arithmetic number, because the mean of its divisors is an integer number (440897688).

Almost surely, 213204414020 is an apocalyptic number.

13204414020 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 13204414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21163089024).

13204414020 is an abundant number, since it is smaller than the sum of its proper divisors (29121764028).

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

13204414020 is a wasteful number, since it uses less digits than its factorization.

13204414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53629 (or 53627 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 13204414020 its reverse (2041440231), we get a palindrome (15245854251).

The spelling of 13204414020 in words is "thirteen billion, two hundred four million, four hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 593 1186 1779 2372 2965 3558 4151 5930 7116 8302 8895 11860 12453 16604 17790 20755 24906 35580 41510 49812 53017 62265 83020 106034 124530 159051 212068 249060 265085 318102 371119 530170 636204 742238 795255 1060340 1113357 1484476 1590510 1855595 2226714 3181020 3711190 4453428 5566785 7422380 11133570 22267140 31439081 62878162 94317243 125756324 157195405 188634486 220073567 314390810 377268972 440147134 471586215 628781620 660220701 880294268 943172430 1100367835 1320441402 1886344860 2200735670 2640882804 3301103505 4401471340 6602207010 13204414020