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22673917313 is a prime number
BaseRepresentation
bin10101000111011110…
…001000010110000001
32011112011222100020022
4111013132020112001
5332414010323223
614225524423225
71431611055125
oct250736102601
964464870208
1022673917313
119685920743
124489547b15
1321a465b428
141151489585
158ca89cac8
hex547788581

22673917313 has 2 divisors, whose sum is σ = 22673917314. Its totient is φ = 22673917312.

The previous prime is 22673917271. The next prime is 22673917367. The reversal of 22673917313 is 31371937622.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16490925889 + 6182991424 = 128417^2 + 78632^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22673917313 is a prime.

It is a super-3 number, since 3×226739173133 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (22673917373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11336958656 + 11336958657.

It is an arithmetic number, because the mean of its divisors is an integer number (11336958657).

Almost surely, 222673917313 is an apocalyptic number.

It is an amenable number.

22673917313 is a deficient number, since it is larger than the sum of its proper divisors (1).

22673917313 is an equidigital number, since it uses as much as digits as its factorization.

22673917313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 285768, while the sum is 44.

The spelling of 22673917313 in words is "twenty-two billion, six hundred seventy-three million, nine hundred seventeen thousand, three hundred thirteen".