Search a number
-
+
133106717 is a prime number
BaseRepresentation
bin1111110111100…
…00110000011101
3100021110112002102
413323300300131
5233033403332
621112534445
73204250142
oct773606035
9307415072
10133106717
1169154057
12386b1425
1321765893
141396c3c9
15ba44062
hex7ef0c1d

133106717 has 2 divisors, whose sum is σ = 133106718. Its totient is φ = 133106716.

The previous prime is 133106713. The next prime is 133106759. The reversal of 133106717 is 717601331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132457081 + 649636 = 11509^2 + 806^2 .

It is a cyclic number.

It is not a de Polignac number, because 133106717 - 22 = 133106713 is a prime.

It is a super-2 number, since 2×1331067172 = 35434796221036178, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133106717.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133106713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66553358 + 66553359.

It is an arithmetic number, because the mean of its divisors is an integer number (66553359).

Almost surely, 2133106717 is an apocalyptic number.

It is an amenable number.

133106717 is a deficient number, since it is larger than the sum of its proper divisors (1).

133106717 is an equidigital number, since it uses as much as digits as its factorization.

133106717 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 133106717 is about 11537.1884356632. The cubic root of 133106717 is about 510.5833604103.

The spelling of 133106717 in words is "one hundred thirty-three million, one hundred six thousand, seven hundred seventeen".