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105313441439 is a prime number
BaseRepresentation
bin110001000010100101…
…0111001011010011111
3101001211110211010122002
41202011022321122133
53211140220111224
6120214052312515
710415523324263
oct1420512713237
9331743733562
10105313441439
1140732768318
12184b131273b
139c1459422b
1451509d40a3
152b159579ae
hex18852b969f

105313441439 has 2 divisors, whose sum is σ = 105313441440. Its totient is φ = 105313441438.

The previous prime is 105313441411. The next prime is 105313441481. The reversal of 105313441439 is 934144313501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105313441439 is a prime.

It is a super-2 number, since 2×1053134414392 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105313441039) 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, 52656720719 + 52656720720.

It is an arithmetic number, because the mean of its divisors is an integer number (52656720720).

Almost surely, 2105313441439 is an apocalyptic number.

105313441439 is a deficient number, since it is larger than the sum of its proper divisors (1).

105313441439 is an equidigital number, since it uses as much as digits as its factorization.

105313441439 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 105313441439 in words is "one hundred five billion, three hundred thirteen million, four hundred forty-one thousand, four hundred thirty-nine".