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330442021321337 is a prime number
BaseRepresentation
bin100101100100010010000011…
…1010011001011101001111001
31121022222221121121202000102202
41023020210013103023221321
5321302430224424240322
63130442545142235545
7126413435222334242
oct11310440723135171
91538887547660382
10330442021321337
119631a746480612
1231089a64425bb5
131124c719c35983
145b8569cb9bcc9
15283084e1dd292
hex12c89074cba79

330442021321337 has 2 divisors, whose sum is σ = 330442021321338. Its totient is φ = 330442021321336.

The previous prime is 330442021321277. The next prime is 330442021321387. The reversal of 330442021321337 is 733123120244033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 330360759837241 + 81261484096 = 18175829^2 + 285064^2 .

It is a cyclic number.

It is not a de Polignac number, because 330442021321337 - 28 = 330442021321081 is a prime.

It is a super-2 number, since 2×3304420213213372 (a number of 30 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 330442021321337.

It is not a weakly prime, because it can be changed into another prime (330442021321387) 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, 165221010660668 + 165221010660669.

It is an arithmetic number, because the mean of its divisors is an integer number (165221010660669).

Almost surely, 2330442021321337 is an apocalyptic number.

It is an amenable number.

330442021321337 is a deficient number, since it is larger than the sum of its proper divisors (1).

330442021321337 is an equidigital number, since it uses as much as digits as its factorization.

330442021321337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 38.

The spelling of 330442021321337 in words is "three hundred thirty trillion, four hundred forty-two billion, twenty-one million, three hundred twenty-one thousand, three hundred thirty-seven".