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22213230013 = 1317128977977
BaseRepresentation
bin10100101100000000…
…101111110110111101
32010100002010000001201
4110230000233312331
5330443041330023
614112110335501
71414315224352
oct245400576675
963302100051
1022213230013
119469875537
12437b1ba591
13213008c0b0
14110a208629
158a01ecbad
hex52c02fdbd

22213230013 has 16 divisors (see below), whose sum is σ = 25349088240. Its totient is φ = 19283152896.

The previous prime is 22213229999. The next prime is 22213230037. The reversal of 22213230013 is 31003231222.

It can be written as a sum of positive squares in 8 ways, for example, as 721083609 + 21492146404 = 26853^2 + 146602^2 .

It is a cyclic number.

It is not a de Polignac number, because 22213230013 - 233 = 13623295421 is a prime.

It is a super-2 number, since 2×222132300132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22213230713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245881 + ... + 323857.

It is an arithmetic number, because the mean of its divisors is an integer number (1584318015).

Almost surely, 222213230013 is an apocalyptic number.

It is an amenable number.

22213230013 is a deficient number, since it is larger than the sum of its proper divisors (3135858227).

22213230013 is a wasteful number, since it uses less digits than its factorization.

22213230013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79296.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 22213230013 its reverse (31003231222), we get a palindrome (53216461235).

The spelling of 22213230013 in words is "twenty-two billion, two hundred thirteen million, two hundred thirty thousand, thirteen".

Divisors: 1 13 17 221 1289 16757 21913 77977 284869 1013701 1325609 17232917 100512353 1306660589 1708710001 22213230013