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2122012021 is a prime number
BaseRepresentation
bin111111001111011…
…0101010101110101
312110212221101020211
41332132311111311
513321213341041
6550322025421
7103404542653
oct17636652565
95425841224
102122012021
11999903048
124b27a8271
1327a82701c
14161b79dd3
15c6464481
hex7e7b5575

2122012021 has 2 divisors, whose sum is σ = 2122012022. Its totient is φ = 2122012020.

The previous prime is 2122011973. The next prime is 2122012069. The reversal of 2122012021 is 1202102212.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (2122011973) and next prime (2122012069).

It can be written as a sum of positive squares in only one way, i.e., 2096357796 + 25654225 = 45786^2 + 5065^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122012021 - 225 = 2088457589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122011992 and 2122012010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122082021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061006010 + 1061006011.

It is an arithmetic number, because the mean of its divisors is an integer number (1061006011).

Almost surely, 22122012021 is an apocalyptic number.

It is an amenable number.

2122012021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122012021 is an equidigital number, since it uses as much as digits as its factorization.

2122012021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2122012021 is about 46065.3017031257. The cubic root of 2122012021 is about 1285.0379295077.

Adding to 2122012021 its reverse (1202102212), we get a palindrome (3324114233).

The spelling of 2122012021 in words is "two billion, one hundred twenty-two million, twelve thousand, twenty-one".