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12221310013 = 111765354599
BaseRepresentation
bin10110110000111001…
…00110010000111101
31011112201112212121121
423120130212100331
5200012123410023
65340413030541
7611566264303
oct133034462075
934481485547
1012221310013
11520167a110
122450a85451
1311c9c705b3
1483d18a273
154b7dd8d5d
hex2d872643d

12221310013 has 8 divisors (see below), whose sum is σ = 14116593600. Its totient is φ = 10456735680.

The previous prime is 12221310011. The next prime is 12221310019. The reversal of 12221310013 is 31001312221.

12221310013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12221310013 - 21 = 12221310011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221310011) 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 7 ways as a sum of consecutive naturals, for example, 32677113 + ... + 32677486.

It is an arithmetic number, because the mean of its divisors is an integer number (1764574200).

Almost surely, 212221310013 is an apocalyptic number.

It is an amenable number.

12221310013 is a deficient number, since it is larger than the sum of its proper divisors (1895283587).

12221310013 is a wasteful number, since it uses less digits than its factorization.

12221310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65354627.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12221310013 its reverse (31001312221), we get a palindrome (43222622234).

It can be divided in two parts, 12221 and 310013, that multiplied together give a palindrome (3788668873).

The spelling of 12221310013 in words is "twelve billion, two hundred twenty-one million, three hundred ten thousand, thirteen".

Divisors: 1 11 17 187 65354599 718900589 1111028183 12221310013