Search a number
-
+
123701 is a prime number
BaseRepresentation
bin11110001100110101
320021200112
4132030311
512424301
62352405
71023434
oct361465
9207615
10123701
1184a36
125b705
13443c6
143311b
15269bb
hex1e335

123701 has 2 divisors, whose sum is σ = 123702. Its totient is φ = 123700.

The previous prime is 123677. The next prime is 123707. The reversal of 123701 is 107321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84100 + 39601 = 290^2 + 199^2 .

It is a cyclic number.

It is not a de Polignac number, because 123701 - 26 = 123637 is a prime.

It is a Chen prime.

It is equal to p11624 and since 123701 and 11624 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 123701.

It is not a weakly prime, because it can be changed into another prime (123707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61850 + 61851.

It is an arithmetic number, because the mean of its divisors is an integer number (61851).

2123701 is an apocalyptic number.

It is an amenable number.

123701 is a deficient number, since it is larger than the sum of its proper divisors (1).

123701 is an equidigital number, since it uses as much as digits as its factorization.

123701 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 123701 is about 351.7115295238. The cubic root of 123701 is about 49.8261965472.

The spelling of 123701 in words is "one hundred twenty-three thousand, seven hundred one", and thus it is an iban number.