Search a number
-
+
3122002033027 is a prime number
BaseRepresentation
bin101101011011100101110…
…100100111100110000011
3102001110102200121200221221
4231123211310213212003
5402122330010024102
610350121122255511
7441362056266343
oct55334564474603
912043380550857
103122002033027
11aa4040836949
124250941b7597
13198532723aa7
14ab16a0a6d23
155632535e637
hex2d6e5d27983

3122002033027 has 2 divisors, whose sum is σ = 3122002033028. Its totient is φ = 3122002033026.

The previous prime is 3122002032899. The next prime is 3122002033043. The reversal of 3122002033027 is 7203302002213.

3122002033027 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3122002033027 - 27 = 3122002032899 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3122002032992 and 3122002033010.

It is not a weakly prime, because it can be changed into another prime (3122002033127) 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 as a sum of consecutive naturals, namely, 1561001016513 + 1561001016514.

It is an arithmetic number, because the mean of its divisors is an integer number (1561001016514).

Almost surely, 23122002033027 is an apocalyptic number.

3122002033027 is a deficient number, since it is larger than the sum of its proper divisors (1).

3122002033027 is an equidigital number, since it uses as much as digits as its factorization.

3122002033027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 25.

The spelling of 3122002033027 in words is "three trillion, one hundred twenty-two billion, two million, thirty-three thousand, twenty-seven".