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300440454513313 is a prime number
BaseRepresentation
bin100010001001111111011111…
…0100100010100001010100001
31110101202211022211211011101211
41010103332332210110022201
5303334404022323411223
62542552234525030121
7120166051353166432
oct10423767644241241
91411684284734354
10300440454513313
11878030991194a4
12298434583b5341
13cb8454b0127aa
1454295776bb489
1524b022babed0d
hex1113fbe9142a1

300440454513313 has 2 divisors, whose sum is σ = 300440454513314. Its totient is φ = 300440454513312.

The previous prime is 300440454513293. The next prime is 300440454513337. The reversal of 300440454513313 is 313315454044003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 291309523755264 + 9130930758049 = 17067792^2 + 3021743^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-300440454513313 is a prime.

It is not a weakly prime, because it can be changed into another prime (300440464513313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150220227256656 + 150220227256657.

It is an arithmetic number, because the mean of its divisors is an integer number (150220227256657).

Almost surely, 2300440454513313 is an apocalyptic number.

It is an amenable number.

300440454513313 is a deficient number, since it is larger than the sum of its proper divisors (1).

300440454513313 is an equidigital number, since it uses as much as digits as its factorization.

300440454513313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 300440454513313 in words is "three hundred trillion, four hundred forty billion, four hundred fifty-four million, five hundred thirteen thousand, three hundred thirteen".