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242633821217 is a prime number
BaseRepresentation
bin1110000111111000011…
…0100100110000100001
3212012021120100012110212
43201332012210300201
512433403224234332
6303244152503505
723346456310604
oct3417606446041
9765246305425
10242633821217
119399a515097
123b0356aab95
1319b59c56a18
14ba5a3b633b
1564a12bc8b2
hex387e1a4c21

242633821217 has 2 divisors, whose sum is σ = 242633821218. Its totient is φ = 242633821216.

The previous prime is 242633821207. The next prime is 242633821249. The reversal of 242633821217 is 712128336242.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196389899281 + 46243921936 = 443159^2 + 215044^2 .

It is a cyclic number.

It is not a de Polignac number, because 242633821217 - 210 = 242633820193 is a prime.

It is a super-2 number, since 2×2426338212172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (242633821207) 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, 121316910608 + 121316910609.

It is an arithmetic number, because the mean of its divisors is an integer number (121316910609).

Almost surely, 2242633821217 is an apocalyptic number.

It is an amenable number.

242633821217 is a deficient number, since it is larger than the sum of its proper divisors (1).

242633821217 is an equidigital number, since it uses as much as digits as its factorization.

242633821217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 193536, while the sum is 41.

The spelling of 242633821217 in words is "two hundred forty-two billion, six hundred thirty-three million, eight hundred twenty-one thousand, two hundred seventeen".