Search a number
-
+
12003385777 is a prime number
BaseRepresentation
bin10110010110111010…
…10010000110110001
31010222112111011202121
423023131102012301
5144040331321102
65303030114241
7603312044545
oct131335220661
933875434677
1012003385777
1150aa664439
1223abaab981
131193a7b946
1481c25da25
154a3bddb37
hex2cb7521b1

12003385777 has 2 divisors, whose sum is σ = 12003385778. Its totient is φ = 12003385776.

The previous prime is 12003385753. The next prime is 12003385799. The reversal of 12003385777 is 77758330021.

12003385777 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., 7861304896 + 4142080881 = 88664^2 + 64359^2 .

It is a cyclic number.

It is not a de Polignac number, because 12003385777 - 211 = 12003383729 is a prime.

It is a super-2 number, since 2×120033857772 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12003385577) 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, 6001692888 + 6001692889.

It is an arithmetic number, because the mean of its divisors is an integer number (6001692889).

Almost surely, 212003385777 is an apocalyptic number.

It is an amenable number.

12003385777 is a deficient number, since it is larger than the sum of its proper divisors (1).

12003385777 is an equidigital number, since it uses as much as digits as its factorization.

12003385777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 246960, while the sum is 43.

The spelling of 12003385777 in words is "twelve billion, three million, three hundred eighty-five thousand, seven hundred seventy-seven".