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13022221303331 = 1715165913275801
BaseRepresentation
bin1011110101111111100011…
…0111111111111000100011
31201002220121222210200211222
42331133320313333320203
53201324002123201311
643410154220125255
72512552532512322
oct275377067777043
951086558720758
1013022221303331
114170769489899
12156396369682b
13735cb4613106
143303c93320b9
15178b1042badb
hexbd7f8dffe23

13022221303331 has 32 divisors (see below), whose sum is σ = 13913481922560. Its totient is φ = 12145311360000.

The previous prime is 13022221303279. The next prime is 13022221303339. The reversal of 13022221303331 is 13330312222031.

It is a de Polignac number, because none of the positive numbers 2k-13022221303331 is a prime.

It is a super-2 number, since 2×130222213033312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13022221303331.

It is not an unprimeable number, because it can be changed into a prime (13022221303339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2244820631 + ... + 2244826431.

It is an arithmetic number, because the mean of its divisors is an integer number (434796310080).

Almost surely, 213022221303331 is an apocalyptic number.

13022221303331 is a deficient number, since it is larger than the sum of its proper divisors (891260619229).

13022221303331 is a wasteful number, since it uses less digits than its factorization.

13022221303331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7955.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 13022221303331 its reverse (13330312222031), we get a palindrome (26352533525362).

The spelling of 13022221303331 in words is "thirteen trillion, twenty-two billion, two hundred twenty-one million, three hundred three thousand, three hundred thirty-one".

Divisors: 1 17 151 659 1327 2567 5801 11203 22559 98617 99509 200377 874493 875951 1691653 3406409 3822859 7697927 14866381 14891167 64988603 130864759 132048443 577251709 1162386977 2244823531 5072933893 9813279053 19760578609 86239876181 766013017843 13022221303331