Search a number
-
+
199971137 is a prime number
BaseRepresentation
bin10111110101101…
…01000101000001
3111221021120211102
423322311011001
5402143034022
631502024145
74645504142
oct1372650501
9457246742
10199971137
11a2973303
1256b78055
1332577122
141c7b5ac9
1512850a92
hexbeb5141

199971137 has 2 divisors, whose sum is σ = 199971138. Its totient is φ = 199971136.

The previous prime is 199971133. The next prime is 199971151. The reversal of 199971137 is 731179991.

199971137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197009296 + 2961841 = 14036^2 + 1721^2 .

It is an emirp because it is prime and its reverse (731179991) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 199971137 - 22 = 199971133 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 199971091 and 199971100.

It is not a weakly prime, because it can be changed into another prime (199971133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99985568 + 99985569.

It is an arithmetic number, because the mean of its divisors is an integer number (99985569).

Almost surely, 2199971137 is an apocalyptic number.

It is an amenable number.

199971137 is a deficient number, since it is larger than the sum of its proper divisors (1).

199971137 is an equidigital number, since it uses as much as digits as its factorization.

199971137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 107163, while the sum is 47.

The square root of 199971137 is about 14141.1151257601. The cubic root of 199971137 is about 584.7754143145.

The spelling of 199971137 in words is "one hundred ninety-nine million, nine hundred seventy-one thousand, one hundred thirty-seven".