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13222101312341 is a prime number
BaseRepresentation
bin1100000001101000001010…
…1001101110001101010101
31201211000112222022012122122
43000122002221232031111
53213112330413443331
644042052142305325
72533156665533345
oct300320251561525
951730488265578
1013222101312341
114238509544a89
121596646b88245
1374bab9b0c4ac
14339d4b4dad25
1517de0d09d17b
hexc0682a6e355

13222101312341 has 2 divisors, whose sum is σ = 13222101312342. Its totient is φ = 13222101312340.

The previous prime is 13222101312317. The next prime is 13222101312347. The reversal of 13222101312341 is 14321310122231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12054575680900 + 1167525631441 = 3471970^2 + 1080521^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13222101312341 is a prime.

It is a super-2 number, since 2×132221013123412 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13222101312341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13222101312347) 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 as a sum of consecutive naturals, namely, 6611050656170 + 6611050656171.

It is an arithmetic number, because the mean of its divisors is an integer number (6611050656171).

Almost surely, 213222101312341 is an apocalyptic number.

It is an amenable number.

13222101312341 is a deficient number, since it is larger than the sum of its proper divisors (1).

13222101312341 is an equidigital number, since it uses as much as digits as its factorization.

13222101312341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 13222101312341 its reverse (14321310122231), we get a palindrome (27543411434572).

The spelling of 13222101312341 in words is "thirteen trillion, two hundred twenty-two billion, one hundred one million, three hundred twelve thousand, three hundred forty-one".