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33412001317 is a prime number
BaseRepresentation
bin11111000111100000…
…101010111000100101
310012020112120112021021
4133013200222320211
51021411433020232
623203235051141
72261660216362
oct370740527045
9105215515237
1033412001317
1113196227132
126585740ab1
1331c62306a6
14188d65b469
15d08452397
hex7c782ae25

33412001317 has 2 divisors, whose sum is σ = 33412001318. Its totient is φ = 33412001316.

The previous prime is 33412001279. The next prime is 33412001323. The reversal of 33412001317 is 71310021433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18174814596 + 15237186721 = 134814^2 + 123439^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33412001317 is a prime.

It is a super-2 number, since 2×334120013172 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33412001291 and 33412001300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33412001017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16706000658 + 16706000659.

It is an arithmetic number, because the mean of its divisors is an integer number (16706000659).

Almost surely, 233412001317 is an apocalyptic number.

It is an amenable number.

33412001317 is a deficient number, since it is larger than the sum of its proper divisors (1).

33412001317 is an equidigital number, since it uses as much as digits as its factorization.

33412001317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 25.

The spelling of 33412001317 in words is "thirty-three billion, four hundred twelve million, one thousand, three hundred seventeen".