Search a number
-
+
381864113 is a prime number
BaseRepresentation
bin10110110000101…
…100100010110001
3222121112201002022
4112300230202301
51240224122423
6101520401225
712314535311
oct2660544261
9877481068
10381864113
11186609184
12a7a76215
13611617c7
1438a03441
15237cedc8
hex16c2c8b1

381864113 has 2 divisors, whose sum is σ = 381864114. Its totient is φ = 381864112.

The previous prime is 381864089. The next prime is 381864137. The reversal of 381864113 is 311468183.

It is a balanced prime because it is at equal distance from previous prime (381864089) and next prime (381864137).

It can be written as a sum of positive squares in only one way, i.e., 381694369 + 169744 = 19537^2 + 412^2 .

It is a cyclic number.

It is not a de Polignac number, because 381864113 - 28 = 381863857 is a prime.

It is not a weakly prime, because it can be changed into another prime (381864313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 190932056 + 190932057.

It is an arithmetic number, because the mean of its divisors is an integer number (190932057).

Almost surely, 2381864113 is an apocalyptic number.

It is an amenable number.

381864113 is a deficient number, since it is larger than the sum of its proper divisors (1).

381864113 is an equidigital number, since it uses as much as digits as its factorization.

381864113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 35.

The square root of 381864113 is about 19541.3436846088. The cubic root of 381864113 is about 725.4981043150.

The spelling of 381864113 in words is "three hundred eighty-one million, eight hundred sixty-four thousand, one hundred thirteen".