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330241133014313 is a prime number
BaseRepresentation
bin100101100010110100100000…
…1011011000110110100101001
31121022021202002100221122210012
41023011221001123012310221
5321241132320022424223
63130210403200501305
7126363064064031653
oct11305510133066451
91538252070848705
10330241133014313
1196252529244184
1231056b3b31a835
13112367b3885451
145b79a82b256d3
15282a4e2c9bc78
hex12c5a416c6d29

330241133014313 has 2 divisors, whose sum is σ = 330241133014314. Its totient is φ = 330241133014312.

The previous prime is 330241133014283. The next prime is 330241133014343. The reversal of 330241133014313 is 313410331142033.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (330241133014283) and next prime (330241133014343).

It can be written as a sum of positive squares in only one way, i.e., 206471235977449 + 123769897036864 = 14369107^2 + 11125192^2 .

It is an emirp because it is prime and its reverse (313410331142033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 330241133014313 - 210 = 330241133013289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 330241133014313.

It is not a weakly prime, because it can be changed into another prime (330241133014343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165120566507156 + 165120566507157.

It is an arithmetic number, because the mean of its divisors is an integer number (165120566507157).

Almost surely, 2330241133014313 is an apocalyptic number.

It is an amenable number.

330241133014313 is a deficient number, since it is larger than the sum of its proper divisors (1).

330241133014313 is an equidigital number, since it uses as much as digits as its factorization.

330241133014313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 330241133014313 its reverse (313410331142033), we get a palindrome (643651464156346).

The spelling of 330241133014313 in words is "three hundred thirty trillion, two hundred forty-one billion, one hundred thirty-three million, fourteen thousand, three hundred thirteen".