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22130323313321 = 1746371219723017
BaseRepresentation
bin1010000100000100111100…
…00011110101001010101001
32220100122020021121121202002
411002002132003311022221
510400040400232011241
6115022310304020345
74442602020302516
oct502023603651251
986318207547662
1022130323313321
117062465635043
1225950086016b5
13c46b5a6c0c92
145671830d830d
152859d928d89b
hex14209e0f52a9

22130323313321 has 16 divisors (see below), whose sum is σ = 23440100216976. Its totient is φ = 20821435815936.

The previous prime is 22130323313309. The next prime is 22130323313333. The reversal of 22130323313321 is 12331332303122.

It is an interprime number because it is at equal distance from previous prime (22130323313309) and next prime (22130323313333).

It can be written as a sum of positive squares in 8 ways, for example, as 433694688025 + 21696628625296 = 658555^2 + 4657964^2 .

It is a cyclic number.

It is not a de Polignac number, because 22130323313321 - 26 = 22130323313257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22130323313821) 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, 961465805 + ... + 961488821.

It is an arithmetic number, because the mean of its divisors is an integer number (1465006263561).

Almost surely, 222130323313321 is an apocalyptic number.

It is an amenable number.

22130323313321 is a deficient number, since it is larger than the sum of its proper divisors (1309776903655).

22130323313321 is a wasteful number, since it uses less digits than its factorization.

22130323313321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39868.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 22130323313321 its reverse (12331332303122), we get a palindrome (34461655616443).

The spelling of 22130323313321 in words is "twenty-two trillion, one hundred thirty billion, three hundred twenty-three million, three hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 17 4637 12197 23017 78829 207349 391289 56557489 106729829 280738349 961477313 1814407093 4772551933 1301783724313 22130323313321