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22412341361 is a prime number
BaseRepresentation
bin10100110111111000…
…010011000001110001
32010211221202220111002
4110313320103001301
5331400024410421
614143542131345
71422253521044
oct246770230161
963757686432
1022412341361
119561200873
124415a20b55
1321623c4a67
141128838c5b
158b292db0b
hex537e13071

22412341361 has 2 divisors, whose sum is σ = 22412341362. Its totient is φ = 22412341360.

The previous prime is 22412341349. The next prime is 22412341373. The reversal of 22412341361 is 16314321422.

It is a balanced prime because it is at equal distance from previous prime (22412341349) and next prime (22412341373).

It can be written as a sum of positive squares in only one way, i.e., 22165254400 + 247086961 = 148880^2 + 15719^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22412341361 is a prime.

It is a super-3 number, since 3×224123413613 (a number of 32 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (22412341321) 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 as a sum of consecutive naturals, namely, 11206170680 + 11206170681.

It is an arithmetic number, because the mean of its divisors is an integer number (11206170681).

Almost surely, 222412341361 is an apocalyptic number.

It is an amenable number.

22412341361 is a deficient number, since it is larger than the sum of its proper divisors (1).

22412341361 is an equidigital number, since it uses as much as digits as its factorization.

22412341361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 29.

Adding to 22412341361 its reverse (16314321422), we get a palindrome (38726662783).

The spelling of 22412341361 in words is "twenty-two billion, four hundred twelve million, three hundred forty-one thousand, three hundred sixty-one".