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301612066313 is a prime number
BaseRepresentation
bin1000110001110010111…
…10101110011000001001
31001211111212022110222212
410120321132232120021
514420200142110223
6350320401154505
730535141156205
oct4307136563011
91054455273885
10301612066313
11106a0516a608
124a55532ba35
1322598aca8bc
1410853297b05
157ca3e93278
hex46397ae609

301612066313 has 2 divisors, whose sum is σ = 301612066314. Its totient is φ = 301612066312.

The previous prime is 301612066307. The next prime is 301612066319. The reversal of 301612066313 is 313660216103.

It is a balanced prime because it is at equal distance from previous prime (301612066307) and next prime (301612066319).

It can be written as a sum of positive squares in only one way, i.e., 152340334864 + 149271731449 = 390308^2 + 386357^2 .

It is a cyclic number.

It is not a de Polignac number, because 301612066313 - 24 = 301612066297 is a prime.

It is a super-4 number, since 4×3016120663134 (a number of 47 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 301612066313.

It is not a weakly prime, because it can be changed into another prime (301612066319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150806033156 + 150806033157.

It is an arithmetic number, because the mean of its divisors is an integer number (150806033157).

Almost surely, 2301612066313 is an apocalyptic number.

It is an amenable number.

301612066313 is a deficient number, since it is larger than the sum of its proper divisors (1).

301612066313 is an equidigital number, since it uses as much as digits as its factorization.

301612066313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 301612066313 in words is "three hundred one billion, six hundred twelve million, sixty-six thousand, three hundred thirteen".