Search a number
-
+
13322110112 = 251730418053
BaseRepresentation
bin11000110100000111…
…10100010010100000
31021101102220022110122
430122003310102200
5204240430010422
610041535015412
7651064032113
oct143203642240
937342808418
1013322110112
115716a90563
1226b966a568
1313440414bc
1490545657a
1552e87bd42
hex31a0f44a0

13322110112 has 48 divisors (see below), whose sum is σ = 27783303912. Its totient is φ = 6266388480.

The previous prime is 13322110111. The next prime is 13322110127. The reversal of 13322110112 is 21101122331.

It can be written as a sum of positive squares in 4 ways, for example, as 12686868496 + 635241616 = 112636^2 + 25204^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (13322110111) 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 7 ways as a sum of consecutive naturals, for example, 1650278 + ... + 1658330.

Almost surely, 213322110112 is an apocalyptic number.

It is an amenable number.

13322110112 is an abundant number, since it is smaller than the sum of its proper divisors (14461193800).

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

13322110112 is a wasteful number, since it uses less digits than its factorization.

13322110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11121 (or 11113 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13322110112 its reverse (21101122331), we get a palindrome (34423232443).

The spelling of 13322110112 in words is "thirteen billion, three hundred twenty-two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 3041 6082 8053 12164 16106 24328 32212 48656 51697 64424 97312 103394 128848 136901 206788 257696 273802 413576 547604 827152 1095208 1654304 2190416 4380832 24489173 48978346 97956692 195913384 391826768 416315941 783653536 832631882 1665263764 3330527528 6661055056 13322110112