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22301312513 is a prime number
BaseRepresentation
bin10100110001010000…
…110000011000000001
32010120012212001112112
4110301100300120001
5331133114000023
614124534305105
71416435012554
oct246120603001
963505761475
1022301312513
119504567197
1243a47b8195
1321453bc30c
141117bb669b
158a7ceb478
hex531430601

22301312513 has 2 divisors, whose sum is σ = 22301312514. Its totient is φ = 22301312512.

The previous prime is 22301312477. The next prime is 22301312557. The reversal of 22301312513 is 31521310322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21989330944 + 311981569 = 148288^2 + 17663^2 .

It is a cyclic number.

It is not a de Polignac number, because 22301312513 - 212 = 22301308417 is a prime.

It is not a weakly prime, because it can be changed into another prime (22301312213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11150656256 + 11150656257.

It is an arithmetic number, because the mean of its divisors is an integer number (11150656257).

Almost surely, 222301312513 is an apocalyptic number.

It is an amenable number.

22301312513 is a deficient number, since it is larger than the sum of its proper divisors (1).

22301312513 is an equidigital number, since it uses as much as digits as its factorization.

22301312513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 22301312513 its reverse (31521310322), we get a palindrome (53822622835).

The spelling of 22301312513 in words is "twenty-two billion, three hundred one million, three hundred twelve thousand, five hundred thirteen".