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333304314101393 is a prime number
BaseRepresentation
bin100101111001000110111010…
…1001111100111111010010001
31121201010120200201120201002112
41023302031311033213322101
5322141324213402221033
63140513515454155105
7130130304421463105
oct11362156517477221
91551116621521075
10333304314101393
11972236250a27a8
12314707384b2a95
13113c9600bbb67b
145c4402cb75905
152880024157c48
hex12f23753e7e91

333304314101393 has 2 divisors, whose sum is σ = 333304314101394. Its totient is φ = 333304314101392.

The previous prime is 333304314101333. The next prime is 333304314101453. The reversal of 333304314101393 is 393101413403333.

It is a balanced prime because it is at equal distance from previous prime (333304314101333) and next prime (333304314101453).

It can be written as a sum of positive squares in only one way, i.e., 184963046412544 + 148341267688849 = 13600112^2 + 12179543^2 .

It is a cyclic number.

It is not a de Polignac number, because 333304314101393 - 26 = 333304314101329 is a prime.

It is a super-2 number, since 2×3333043141013932 (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 333304314101393.

It is not a weakly prime, because it can be changed into another prime (333304314101333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166652157050696 + 166652157050697.

It is an arithmetic number, because the mean of its divisors is an integer number (166652157050697).

Almost surely, 2333304314101393 is an apocalyptic number.

It is an amenable number.

333304314101393 is a deficient number, since it is larger than the sum of its proper divisors (1).

333304314101393 is an equidigital number, since it uses as much as digits as its factorization.

333304314101393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 314928, while the sum is 41.

The spelling of 333304314101393 in words is "three hundred thirty-three trillion, three hundred four billion, three hundred fourteen million, one hundred one thousand, three hundred ninety-three".