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330023131013 is a prime number
BaseRepresentation
bin1001100110101101110…
…10010101011110000101
31011112211212202002220102
410303112322111132011
520401341410143023
6411335513013445
732562165220502
oct4632672253605
91145755662812
10330023131013
11117a644a9a74
1253b640b4285
1325175c322a4
1411d8a68c4a9
1588b8356628
hex4cd6e95785

330023131013 has 2 divisors, whose sum is σ = 330023131014. Its totient is φ = 330023131012.

The previous prime is 330023130979. The next prime is 330023131079. The reversal of 330023131013 is 310131320033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 319036317889 + 10986813124 = 564833^2 + 104818^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-330023131013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330023130013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165011565506 + 165011565507.

It is an arithmetic number, because the mean of its divisors is an integer number (165011565507).

Almost surely, 2330023131013 is an apocalyptic number.

It is an amenable number.

330023131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

330023131013 is an equidigital number, since it uses as much as digits as its factorization.

330023131013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 330023131013 its reverse (310131320033), we get a palindrome (640154451046).

The spelling of 330023131013 in words is "three hundred thirty billion, twenty-three million, one hundred thirty-one thousand, thirteen".