Search a number
-
+
330442322131253 is a prime number
BaseRepresentation
bin100101100100010010001100…
…1001110101011100100110101
31121022222222101120202202001202
41023020210121032223210311
5321302431333431200003
63130443035045502245
7126413445534226133
oct11310443116534465
91538888346682052
10330442322131253
119631a890258552
1231089b29111985
131124c7673582c7
145b856cab02753
15283086a80c088
hex12c89193ab935

330442322131253 has 2 divisors, whose sum is σ = 330442322131254. Its totient is φ = 330442322131252.

The previous prime is 330442322131231. The next prime is 330442322131279. The reversal of 330442322131253 is 352131223244033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 271463255204164 + 58979066927089 = 16476142^2 + 7679783^2 .

It is a cyclic number.

It is not a de Polignac number, because 330442322131253 - 220 = 330442321082677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330442321131253) 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, 165221161065626 + 165221161065627.

It is an arithmetic number, because the mean of its divisors is an integer number (165221161065627).

Almost surely, 2330442322131253 is an apocalyptic number.

It is an amenable number.

330442322131253 is a deficient number, since it is larger than the sum of its proper divisors (1).

330442322131253 is an equidigital number, since it uses as much as digits as its factorization.

330442322131253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 311040, while the sum is 38.

Adding to 330442322131253 its reverse (352131223244033), we get a palindrome (682573545375286).

The spelling of 330442322131253 in words is "three hundred thirty trillion, four hundred forty-two billion, three hundred twenty-two million, one hundred thirty-one thousand, two hundred fifty-three".