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22121313013 = 291973872101
BaseRepresentation
bin10100100110100010…
…000111001011110101
32010002200011010122101
4110212202013023311
5330301024004023
614055024302101
71412121025642
oct244642071365
963080133571
1022121313013
1194219a4978
124354471931
132117018737
1410dbd1cdc9
158970e31ad
hex5268872f5

22121313013 has 8 divisors (see below), whose sum is σ = 23000285880. Its totient is φ = 21250084800.

The previous prime is 22121313007. The next prime is 22121313041. The reversal of 22121313013 is 31031312122.

It can be written as a sum of positive squares in 4 ways, for example, as 7427509489 + 14693803524 = 86183^2 + 121218^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22121313013 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 (22121313073) 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, 1930338 + ... + 1941763.

It is an arithmetic number, because the mean of its divisors is an integer number (2875035735).

Almost surely, 222121313013 is an apocalyptic number.

It is an amenable number.

22121313013 is a deficient number, since it is larger than the sum of its proper divisors (878972867).

22121313013 is a wasteful number, since it uses less digits than its factorization.

22121313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872327.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 22121313013 its reverse (31031312122), we get a palindrome (53152625135).

The spelling of 22121313013 in words is "twenty-two billion, one hundred twenty-one million, three hundred thirteen thousand, thirteen".

Divisors: 1 29 197 5713 3872101 112290929 762803897 22121313013