Search a number
-
+
6121033813 is a prime number
BaseRepresentation
bin1011011001101011…
…11001000001010101
3120210120210201212001
411230311321001111
5100013441040223
62451214555301
7304453633426
oct55465710125
916716721761
106121033813
112661189334
121229b08b31
137671953cb
14420d1764d
1525c5949ad
hex16cd79055

6121033813 has 2 divisors, whose sum is σ = 6121033814. Its totient is φ = 6121033812.

The previous prime is 6121033747. The next prime is 6121033817. The reversal of 6121033813 is 3183301216.

6121033813 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 can be written as a sum of positive squares in only one way, i.e., 4648239684 + 1472794129 = 68178^2 + 38377^2 .

It is a cyclic number.

It is not a de Polignac number, because 6121033813 - 217 = 6120902741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6121033817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3060516906 + 3060516907.

It is an arithmetic number, because the mean of its divisors is an integer number (3060516907).

Almost surely, 26121033813 is an apocalyptic number.

It is an amenable number.

6121033813 is a deficient number, since it is larger than the sum of its proper divisors (1).

6121033813 is an equidigital number, since it uses as much as digits as its factorization.

6121033813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 6121033813 is about 78237.0360698819. The cubic root of 6121033813 is about 1829.2578448195.

The spelling of 6121033813 in words is "six billion, one hundred twenty-one million, thirty-three thousand, eight hundred thirteen".