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6105109993 is a prime number
BaseRepresentation
bin1011010111110010…
…01001010111101001
3120202110211201110221
411223321021113221
5100000402004433
62445445410041
7304201402333
oct55371112751
916673751427
106105109993
1126531a2554
121224709921
13763aab428
1441cb70453
1525ae9b72d
hex16be495e9

6105109993 has 2 divisors, whose sum is σ = 6105109994. Its totient is φ = 6105109992.

The previous prime is 6105109991. The next prime is 6105110017. The reversal of 6105109993 is 3999015016.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5959376809 + 145733184 = 77197^2 + 12072^2 .

It is a cyclic number.

It is not a de Polignac number, because 6105109993 - 21 = 6105109991 is a prime.

Together with 6105109991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (6105109991) 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, 3052554996 + 3052554997.

It is an arithmetic number, because the mean of its divisors is an integer number (3052554997).

Almost surely, 26105109993 is an apocalyptic number.

It is an amenable number.

6105109993 is a deficient number, since it is larger than the sum of its proper divisors (1).

6105109993 is an equidigital number, since it uses as much as digits as its factorization.

6105109993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65610, while the sum is 43.

The square root of 6105109993 is about 78135.2032889145. The cubic root of 6105109993 is about 1827.6702007745.

The spelling of 6105109993 in words is "six billion, one hundred five million, one hundred nine thousand, nine hundred ninety-three".