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13311102221 = 17783006013
BaseRepresentation
bin11000110010110011…
…10100110100001101
31021100200012001110222
430121121310310031
5204230120232341
610040503041125
7650601334124
oct143131646415
937320161428
1013311102221
11571085212a
1226b5a401a5
131341988c61
14903bccabb
1552d90544b
hex319674d0d

13311102221 has 4 divisors (see below), whose sum is σ = 14094108252. Its totient is φ = 12528096192.

The previous prime is 13311102199. The next prime is 13311102281. The reversal of 13311102221 is 12220111331.

13311102221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 12220111331 = 83147230257.

It can be written as a sum of positive squares in 2 ways, for example, as 12501699721 + 809402500 = 111811^2 + 28450^2 .

It is a cyclic number.

It is not a de Polignac number, because 13311102221 - 210 = 13311101197 is a prime.

It is a super-2 number, since 2×133111022212 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 783006013 = 13311102221 / (1 + 3 + 3 + 1 + 1 + 1 + 0 + 2 + 2 + 2 + 1).

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 13311102221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311102281) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 391502990 + ... + 391503023.

It is an arithmetic number, because the mean of its divisors is an integer number (3523527063).

Almost surely, 213311102221 is an apocalyptic number.

It is an amenable number.

13311102221 is a deficient number, since it is larger than the sum of its proper divisors (783006031).

13311102221 is an equidigital number, since it uses as much as digits as its factorization.

13311102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783006030.

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

Adding to 13311102221 its reverse (12220111331), we get a palindrome (25531213552).

It can be divided in two parts, 1331110 and 2221, that added together give a palindrome (1333331).

The spelling of 13311102221 in words is "thirteen billion, three hundred eleven million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 17 783006013 13311102221