Search a number
-
+
214001021233 is a prime number
BaseRepresentation
bin1100011101001101110…
…1000111000100110001
3202110101002200020221101
43013103131013010301
512001233230134413
6242151040324401
721314100444616
oct3072335070461
9673332606841
10214001021233
1182836aa772a
1235584613701
1317245bc7b1c
14a50178250d
155877709edd
hex31d3747131

214001021233 has 2 divisors, whose sum is σ = 214001021234. Its totient is φ = 214001021232.

The previous prime is 214001021207. The next prime is 214001021237. The reversal of 214001021233 is 332120100412.

It is a happy number.

214001021233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202191417649 + 11809603584 = 449657^2 + 108672^2 .

It is a cyclic number.

It is not a de Polignac number, because 214001021233 - 213 = 214001013041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214001021233.

It is not a weakly prime, because it can be changed into another prime (214001021237) 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, 107000510616 + 107000510617.

It is an arithmetic number, because the mean of its divisors is an integer number (107000510617).

Almost surely, 2214001021233 is an apocalyptic number.

It is an amenable number.

214001021233 is a deficient number, since it is larger than the sum of its proper divisors (1).

214001021233 is an equidigital number, since it uses as much as digits as its factorization.

214001021233 is an odious number, because the sum of its binary digits is odd.

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

Adding to 214001021233 its reverse (332120100412), we get a palindrome (546121121645).

The spelling of 214001021233 in words is "two hundred fourteen billion, one million, twenty-one thousand, two hundred thirty-three".