Search a number
-
+
123864121 is a prime number
BaseRepresentation
bin1110110001000…
…00010000111001
322122001221122001
413120200100321
5223202122441
620142501001
73032553613
oct730402071
9278057561
10123864121
1163a10a47
1235594761
131c87a9a4
1412643db3
15ad1a731
hex7620439

123864121 has 2 divisors, whose sum is σ = 123864122. Its totient is φ = 123864120.

The previous prime is 123864107. The next prime is 123864149. The reversal of 123864121 is 121468321.

It is an a-pointer prime, because the next prime (123864149) can be obtained adding 123864121 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122412096 + 1452025 = 11064^2 + 1205^2 .

It is a cyclic number.

It is not a de Polignac number, because 123864121 - 29 = 123863609 is a prime.

It is a super-2 number, since 2×1238641212 = 30684640942205282, 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 123864121.

It is not a weakly prime, because it can be changed into another prime (123864101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61932060 + 61932061.

It is an arithmetic number, because the mean of its divisors is an integer number (61932061).

Almost surely, 2123864121 is an apocalyptic number.

It is an amenable number.

123864121 is a deficient number, since it is larger than the sum of its proper divisors (1).

123864121 is an equidigital number, since it uses as much as digits as its factorization.

123864121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 28.

The square root of 123864121 is about 11129.4259061283. The cubic root of 123864121 is about 498.4808839135.

The spelling of 123864121 in words is "one hundred twenty-three million, eight hundred sixty-four thousand, one hundred twenty-one".