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2101019993 is a prime number
BaseRepresentation
bin111110100111011…
…0000010101011001
312102102102212121022
41331032300111121
513300330114433
6544252052225
7103031242502
oct17516602531
95372385538
102101019993
11988a75466
124a7764075
132763871c7
1415d073ba9
15c46b9698
hex7d3b0559

2101019993 has 2 divisors, whose sum is σ = 2101019994. Its totient is φ = 2101019992.

The previous prime is 2101019983. The next prime is 2101020023. The reversal of 2101019993 is 3999101012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2098372864 + 2647129 = 45808^2 + 1627^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101019993 - 26 = 2101019929 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101019923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050509996 + 1050509997.

It is an arithmetic number, because the mean of its divisors is an integer number (1050509997).

Almost surely, 22101019993 is an apocalyptic number.

It is an amenable number.

2101019993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101019993 is an equidigital number, since it uses as much as digits as its factorization.

2101019993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 35.

The square root of 2101019993 is about 45836.8846345386. The cubic root of 2101019993 is about 1280.7864618709.

It can be divided in two parts, 2101019 and 993, that added together give a palindrome (2102012).

The spelling of 2101019993 in words is "two billion, one hundred one million, nineteen thousand, nine hundred ninety-three".