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13221332410 = 25112137691093
BaseRepresentation
bin11000101000000110…
…11000010110111010
31021010102021021110011
430110003120112322
5204034130114120
610023535012134
7645431320426
oct142403302672
937112237404
1013221332410
115675108800
12268b96a04a
1313291b7a20
148d5d01b86
15525ac1c5a
hex3140d85ba

13221332410 has 96 divisors (see below), whose sum is σ = 28233208080. Its totient is φ = 4428103680.

The previous prime is 13221332401. The next prime is 13221332413. The reversal of 13221332410 is 1423312231.

It can be written as a sum of positive squares in 8 ways, for example, as 6757333209 + 6463999201 = 82203^2 + 80399^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (13221332413) 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, 12095824 + ... + 12096916.

Almost surely, 213221332410 is an apocalyptic number.

13221332410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13221332410 is an abundant number, since it is smaller than the sum of its proper divisors (15011875670).

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

13221332410 is a wasteful number, since it uses less digits than its factorization.

13221332410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13221332410 its reverse (1423312231), we get a palindrome (14644644641).

The spelling of 13221332410 in words is "thirteen billion, two hundred twenty-one million, three hundred thirty-two thousand, four hundred ten".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 121 130 143 242 286 605 715 769 1093 1210 1430 1538 1573 2186 3146 3845 5465 7690 7865 8459 9997 10930 12023 14209 15730 16918 19994 24046 28418 42295 49985 60115 71045 84590 93049 99970 109967 120230 132253 142090 156299 186098 219934 264506 312598 465245 549835 661265 781495 840517 930490 1099670 1209637 1322530 1562990 1681034 1719289 2419274 3438578 4202585 6048185 8405170 8596445 9245687 10926721 12096370 17192890 18491374 21853442 46228435 54633605 92456870 101702557 109267210 120193931 203405114 240387862 508512785 600969655 1017025570 1201939310 1322133241 2644266482 6610666205 13221332410