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330093913441 is a prime number
BaseRepresentation
bin1001100110110110010…
…00010110010101100001
31011120000210221020010211
410303123020112111201
520402013020212231
6411350522054121
732564014653325
oct4633310262541
91146023836124
10330093913441
11117aa0454946
1253b8394a341
13251877b5c96
1411d95c35985
1588be688eb1
hex4cdb216561

330093913441 has 2 divisors, whose sum is σ = 330093913442. Its totient is φ = 330093913440.

The previous prime is 330093913423. The next prime is 330093913453. The reversal of 330093913441 is 144319390033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 240036304225 + 90057609216 = 489935^2 + 300096^2 .

It is a cyclic number.

It is not a de Polignac number, because 330093913441 - 221 = 330091816289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 330093913394 and 330093913403.

It is not a weakly prime, because it can be changed into another prime (330093913411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165046956720 + 165046956721.

It is an arithmetic number, because the mean of its divisors is an integer number (165046956721).

Almost surely, 2330093913441 is an apocalyptic number.

It is an amenable number.

330093913441 is a deficient number, since it is larger than the sum of its proper divisors (1).

330093913441 is an equidigital number, since it uses as much as digits as its factorization.

330093913441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 104976, while the sum is 40.

The spelling of 330093913441 in words is "three hundred thirty billion, ninety-three million, nine hundred thirteen thousand, four hundred forty-one".