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2123212123 is a prime number
BaseRepresentation
bin111111010001101…
…1010010101011011
312110222012100111001
41332203122111123
513322020241443
6550403445431
7103421001544
oct17643322533
95428170431
102123212123
1199a55276a
124b3086877
1327ab57346
14161dad4cb
15c65eed4d
hex7e8da55b

2123212123 has 2 divisors, whose sum is σ = 2123212124. Its totient is φ = 2123212122.

The previous prime is 2123212121. The next prime is 2123212207. The reversal of 2123212123 is 3212123212.

2123212123 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2123212123 - 21 = 2123212121 is a prime.

Together with 2123212121, it forms a pair of twin primes.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 2123212123.

It is not a weakly prime, because it can be changed into another prime (2123212121) 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, 1061606061 + 1061606062.

It is an arithmetic number, because the mean of its divisors is an integer number (1061606062).

Almost surely, 22123212123 is an apocalyptic number.

2123212123 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123212123 is an equidigital number, since it uses as much as digits as its factorization.

2123212123 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 19.

The square root of 2123212123 is about 46078.3259570050. The cubic root of 2123212123 is about 1285.2801345376.

Adding to 2123212123 its reverse (3212123212), we get a palindrome (5335335335).

The spelling of 2123212123 in words is "two billion, one hundred twenty-three million, two hundred twelve thousand, one hundred twenty-three".