Search a number
-
+
137827103 is a prime number
BaseRepresentation
bin10000011011100…
…01001100011111
3100121100100020112
420031301030133
5240240431403
621402040235
73262340201
oct1015611437
9317310215
10137827103
11708885a7
123a1a907b
13227292cb
141443a771
15c1779d8
hex837131f

137827103 has 2 divisors, whose sum is σ = 137827104. Its totient is φ = 137827102.

The previous prime is 137827097. The next prime is 137827187. The reversal of 137827103 is 301728731.

137827103 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 is a cyclic number.

It is not a de Polignac number, because 137827103 - 216 = 137761567 is a prime.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137827103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137824103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68913551 + 68913552.

It is an arithmetic number, because the mean of its divisors is an integer number (68913552).

Almost surely, 2137827103 is an apocalyptic number.

137827103 is a deficient number, since it is larger than the sum of its proper divisors (1).

137827103 is an equidigital number, since it uses as much as digits as its factorization.

137827103 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 137827103 is about 11739.9788330303. The cubic root of 137827103 is about 516.5490207801.

The spelling of 137827103 in words is "one hundred thirty-seven million, eight hundred twenty-seven thousand, one hundred three".