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3315430345133 is a prime number
BaseRepresentation
bin110000001111101111000…
…011000100100110101101
3102201221201001010001102102
4300033233003010212231
5413310000132021013
611015030534304445
7461350311644414
oct60175703044655
912657631101372
103315430345133
11106907aaa6725
12456676ab8125
131b084a3b223a
14b667948247b
155b3968c1d58
hex303ef0c49ad

3315430345133 has 2 divisors, whose sum is σ = 3315430345134. Its totient is φ = 3315430345132.

The previous prime is 3315430345127. The next prime is 3315430345181.

3315430345133 is nontrivially palindromic in base 10.

3315430345133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2819705923204 + 495724421929 = 1679198^2 + 704077^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 3315430345133 - 212 = 3315430341037 is a prime.

It is a super-3 number, since 3×33154303451333 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3315430345333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1657715172566 + 1657715172567.

It is an arithmetic number, because the mean of its divisors is an integer number (1657715172567).

Almost surely, 23315430345133 is an apocalyptic number.

It is an amenable number.

3315430345133 is a deficient number, since it is larger than the sum of its proper divisors (1).

3315430345133 is an equidigital number, since it uses as much as digits as its factorization.

3315430345133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 291600, while the sum is 38.

The spelling of 3315430345133 in words is "three trillion, three hundred fifteen billion, four hundred thirty million, three hundred forty-five thousand, one hundred thirty-three".