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14410122131201 is a prime number
BaseRepresentation
bin1101000110110001111000…
…1101011111011100000001
31220000121001012001212101112
43101230132031133130001
53342043412231144301
650351530235413105
73015045155062136
oct321543615373401
956017035055345
1014410122131201
1146563312a9a75
1217489408b4195
13806b3a671724
1437b64caa658d
1519ec9127b9bb
hexd1b1e35f701

14410122131201 has 2 divisors, whose sum is σ = 14410122131202. Its totient is φ = 14410122131200.

The previous prime is 14410122131177. The next prime is 14410122131203. The reversal of 14410122131201 is 10213122101441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8222212153600 + 6187909977601 = 2867440^2 + 2487551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14410122131201 is a prime.

It is a super-2 number, since 2×144101221312012 (a number of 27 digits) contains 22 as substring.

Together with 14410122131203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (14410122131203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7205061065600 + 7205061065601.

It is an arithmetic number, because the mean of its divisors is an integer number (7205061065601).

Almost surely, 214410122131201 is an apocalyptic number.

It is an amenable number.

14410122131201 is a deficient number, since it is larger than the sum of its proper divisors (1).

14410122131201 is an equidigital number, since it uses as much as digits as its factorization.

14410122131201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 14410122131201 its reverse (10213122101441), we get a palindrome (24623244232642).

The spelling of 14410122131201 in words is "fourteen trillion, four hundred ten billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred one".