Search a number
-
+
207137209 is a prime number
BaseRepresentation
bin11000101100010…
…10100110111001
3112102202122211111
430112022212321
5411011342314
632315400321
75063431366
oct1426124671
9472678744
10207137209
11a6a18284
12594530a1
1333bb5ac6
141d71d46d
15132b8ec4
hexc58a9b9

207137209 has 2 divisors, whose sum is σ = 207137210. Its totient is φ = 207137208.

The previous prime is 207137191. The next prime is 207137219. The reversal of 207137209 is 902731702.

207137209 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., 122589184 + 84548025 = 11072^2 + 9195^2 .

It is a cyclic number.

It is not a de Polignac number, because 207137209 - 211 = 207135161 is a prime.

It is a super-3 number, since 3×2071372093 (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (207137219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 103568604 + 103568605.

It is an arithmetic number, because the mean of its divisors is an integer number (103568605).

Almost surely, 2207137209 is an apocalyptic number.

It is an amenable number.

207137209 is a deficient number, since it is larger than the sum of its proper divisors (1).

207137209 is an equidigital number, since it uses as much as digits as its factorization.

207137209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 207137209 is about 14392.2621224045. The cubic root of 207137209 is about 591.6788427656.

The spelling of 207137209 in words is "two hundred seven million, one hundred thirty-seven thousand, two hundred nine".