Search a number
-
+
13300133222993 is a prime number
BaseRepresentation
bin1100000110001010110110…
…1101110101101001010001
31202002110222011002222121112
43001202231231311221101
53220402133101113433
644141555153103105
72541621462040211
oct301425555655121
952073864088545
1013300133222993
11426861151a441
1215a97a3857a95
137562742907a6
1433da30b26241
15180e788ae348
hexc18adb75a51

13300133222993 has 2 divisors, whose sum is σ = 13300133222994. Its totient is φ = 13300133222992.

The previous prime is 13300133222879. The next prime is 13300133223001. The reversal of 13300133222993 is 39922233100331.

13300133222993 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., 13294898411089 + 5234811904 = 3646217^2 + 72352^2 .

It is a cyclic number.

It is not a de Polignac number, because 13300133222993 - 222 = 13300129028689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13300133222993.

It is not a weakly prime, because it can be changed into another prime (13300133222693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650066611496 + 6650066611497.

It is an arithmetic number, because the mean of its divisors is an integer number (6650066611497).

Almost surely, 213300133222993 is an apocalyptic number.

It is an amenable number.

13300133222993 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300133222993 is an equidigital number, since it uses as much as digits as its factorization.

13300133222993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 157464, while the sum is 41.

The spelling of 13300133222993 in words is "thirteen trillion, three hundred billion, one hundred thirty-three million, two hundred twenty-two thousand, nine hundred ninety-three".