Search a number
-
+
202272006017 is a prime number
BaseRepresentation
bin1011110001100001011…
…0011101111110000001
3201100002200110112211102
42330120112131332001
511303223113143032
6232531131024145
720420326453154
oct2743026357601
9640080415742
10202272006017
1178868301a24
123325059b055
13160c6c42433
149b0bb43c9b
1553dcb66362
hex2f1859df81

202272006017 has 2 divisors, whose sum is σ = 202272006018. Its totient is φ = 202272006016.

The previous prime is 202272005987. The next prime is 202272006019. The reversal of 202272006017 is 710600272202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154782443776 + 47489562241 = 393424^2 + 217921^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202272006017 is a prime.

Together with 202272006019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (202272006019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101136003008 + 101136003009.

It is an arithmetic number, because the mean of its divisors is an integer number (101136003009).

Almost surely, 2202272006017 is an apocalyptic number.

It is an amenable number.

202272006017 is a deficient number, since it is larger than the sum of its proper divisors (1).

202272006017 is an equidigital number, since it uses as much as digits as its factorization.

202272006017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4704, while the sum is 29.

Adding to 202272006017 its reverse (710600272202), we get a palindrome (912872278219).

The spelling of 202272006017 in words is "two hundred two billion, two hundred seventy-two million, six thousand, seventeen".