Search a number
-
+
29721212993 is a prime number
BaseRepresentation
bin11011101011100001…
…011011100001000001
32211201022201001111102
4123223201123201001
5441332112303433
621353112424145
72101343066513
oct335341334101
984638631442
1029721212993
111167193924a
1259156a8055
132a586b3884
14161d3d7bb3
15b8e40a4e8
hex6eb85b841

29721212993 has 2 divisors, whose sum is σ = 29721212994. Its totient is φ = 29721212992.

The previous prime is 29721212947. The next prime is 29721213013. The reversal of 29721212993 is 39921212792.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17889865009 + 11831347984 = 133753^2 + 108772^2 .

It is a cyclic number.

It is not a de Polignac number, because 29721212993 - 28 = 29721212737 is a prime.

It is not a weakly prime, because it can be changed into another prime (29721212903) 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, 14860606496 + 14860606497.

It is an arithmetic number, because the mean of its divisors is an integer number (14860606497).

Almost surely, 229721212993 is an apocalyptic number.

It is an amenable number.

29721212993 is a deficient number, since it is larger than the sum of its proper divisors (1).

29721212993 is an equidigital number, since it uses as much as digits as its factorization.

29721212993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 244944, while the sum is 47.

The spelling of 29721212993 in words is "twenty-nine billion, seven hundred twenty-one million, two hundred twelve thousand, nine hundred ninety-three".