Search a number
-
+
330093786431 is a prime number
BaseRepresentation
bin1001100110110110001…
…11110111010100111111
31011120000210200202220202
410303123013313110333
520402013002131211
6411350515234115
732564013614123
oct4633307672477
91146023622822
10330093786431
11117aa0378482
1253b838a893b
1325187770226
1411d95c01583
1588be66153b
hex4cdb1f753f

330093786431 has 2 divisors, whose sum is σ = 330093786432. Its totient is φ = 330093786430.

The previous prime is 330093786427. The next prime is 330093786433. The reversal of 330093786431 is 134687390033.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 330093786431 - 22 = 330093786427 is a prime.

It is a super-2 number, since 2×3300937864312 (a number of 24 digits) contains 22 as substring.

Together with 330093786433, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330093786433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165046893215 + 165046893216.

It is an arithmetic number, because the mean of its divisors is an integer number (165046893216).

Almost surely, 2330093786431 is an apocalyptic number.

330093786431 is a deficient number, since it is larger than the sum of its proper divisors (1).

330093786431 is an equidigital number, since it uses as much as digits as its factorization.

330093786431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 979776, while the sum is 47.

The spelling of 330093786431 in words is "three hundred thirty billion, ninety-three million, seven hundred eighty-six thousand, four hundred thirty-one".