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2123300331 = 33194138987
BaseRepresentation
bin111111010001110…
…1111110111101011
312110222100211111000
41332203233313223
513322031102311
6550405410043
7103421516655
oct17643576753
95428324430
102123300331
1199a602a69
124b3109923
1327ab88539
14161dd36d5
15c661b056
hex7e8efdeb

2123300331 has 16 divisors (see below), whose sum is σ = 3311190400. Its totient is φ = 1341031464.

The previous prime is 2123300303. The next prime is 2123300359. The reversal of 2123300331 is 1330033212.

2123300331 is a `hidden beast` number, since 2 + 1 + 2 + 330 + 0 + 331 = 666.

It is an interprime number because it is at equal distance from previous prime (2123300303) and next prime (2123300359).

It is not a de Polignac number, because 2123300331 - 27 = 2123300203 is a prime.

It is a super-2 number, since 2×21233003312 = 9016808591249419122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2123301331) 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 in 15 ways as a sum of consecutive naturals, for example, 2068981 + ... + 2070006.

It is an arithmetic number, because the mean of its divisors is an integer number (206949400).

Almost surely, 22123300331 is an apocalyptic number.

2123300331 is a deficient number, since it is larger than the sum of its proper divisors (1187890069).

2123300331 is a wasteful number, since it uses less digits than its factorization.

2123300331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139015 (or 4139009 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2123300331 is about 46079.2830998921. The cubic root of 2123300331 is about 1285.2979331078.

Adding to 2123300331 its reverse (1330033212), we get a palindrome (3453333543).

The spelling of 2123300331 in words is "two billion, one hundred twenty-three million, three hundred thousand, three hundred thirty-one".

Divisors: 1 3 9 19 27 57 171 513 4138987 12416961 37250883 78640753 111752649 235922259 707766777 2123300331