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13222110041010 = 23251339097289049
BaseRepresentation
bin1100000001101000001100…
…1011000001001110110010
31201211000120120201200010200
43000122003023001032302
53213112340132303020
644042053053340030
72533160132656353
oct300320313011662
951730516650120
1013222110041010
114238513466a62
121596649a97616
1374babb8774a0
14339d4c72dd2a
1517de0dc24590
hexc06832c13b2

13222110041010 has 96 divisors (see below), whose sum is σ = 37022983124400. Its totient is φ = 3254578735104.

The previous prime is 13222110040991. The next prime is 13222110041039. The reversal of 13222110041010 is 1014001122231.

13222110041010 is a `hidden beast` number, since 1 + 32 + 2 + 211 + 0 + 0 + 410 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2194483741641 + 11027626299369 = 1481379^2 + 3320787^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45598966 + ... + 45888014.

Almost surely, 213222110041010 is an apocalyptic number.

13222110041010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13222110041010 is an abundant number, since it is smaller than the sum of its proper divisors (23800873083390).

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

13222110041010 is a wasteful number, since it uses less digits than its factorization.

13222110041010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328172 (or 328169 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13222110041010 its reverse (1014001122231), we get a palindrome (14236111163241).

The spelling of 13222110041010 in words is "thirteen trillion, two hundred twenty-two billion, one hundred ten million, forty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 39097 78194 117291 195485 234582 289049 351873 390970 508261 578098 586455 703746 867147 1016522 1172910 1445245 1524783 1734294 1759365 2541305 2601441 2890490 3049566 3518730 3757637 4335735 4574349 5082610 5202882 7515274 7623915 8671470 9148698 11272911 13007205 15247830 18788185 22545822 22871745 26014410 33818733 37576370 45743490 56364555 67637466 112729110 169093665 338187330 11300948753 22601897506 33902846259 56504743765 67805692518 101708538777 113009487530 146912333789 169514231295 203417077554 293824667578 339028462590 440737001367 508542693885 734561668945 881474002734 1017085387770 1322211004101 1469123337890 2203685006835 2644422008202 4407370013670 6611055020505 13222110041010