Search a number
-
+
180170117 is a prime number
BaseRepresentation
bin10101011110100…
…10110110000101
3110120000120221022
422233102312011
5332110420432
625513400525
74315264211
oct1257226605
9416016838
10180170117
1192779526
1250409145
132b43344a
1419cdd941
1510c3db12
hexabd2d85

180170117 has 2 divisors, whose sum is σ = 180170118. Its totient is φ = 180170116.

The previous prime is 180170083. The next prime is 180170119. The reversal of 180170117 is 711071081.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178516321 + 1653796 = 13361^2 + 1286^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-180170117 is a prime.

It is a super-2 number, since 2×1801701172 = 64922542119587378, which contains 22 as substring.

Together with 180170119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (180170119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90085058 + 90085059.

It is an arithmetic number, because the mean of its divisors is an integer number (90085059).

Almost surely, 2180170117 is an apocalyptic number.

It is an amenable number.

180170117 is a deficient number, since it is larger than the sum of its proper divisors (1).

180170117 is an equidigital number, since it uses as much as digits as its factorization.

180170117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 26.

The square root of 180170117 is about 13422.7462540272. The cubic root of 180170117 is about 564.7994349068.

The spelling of 180170117 in words is "one hundred eighty million, one hundred seventy thousand, one hundred seventeen".