Search a number
-
+
99123 = 3193747
BaseRepresentation
bin11000001100110011
312000222020
4120030303
511132443
62042523
7561663
oct301463
9160866
1099123
1168522
1249443
133616b
14281a3
151e583
hex18333

99123 has 16 divisors (see below), whose sum is σ = 145920. Its totient is φ = 59616.

The previous prime is 99119. The next prime is 99131. The reversal of 99123 is 32199.

It is a happy number.

It is not a de Polignac number, because 99123 - 22 = 99119 is a prime.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 99093 and 99102.

It is not an unprimeable number, because it can be changed into a prime (99103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2086 + ... + 2132.

It is an arithmetic number, because the mean of its divisors is an integer number (9120).

299123 is an apocalyptic number.

99123 is a deficient number, since it is larger than the sum of its proper divisors (46797).

99123 is a wasteful number, since it uses less digits than its factorization.

99123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106.

The product of its digits is 486, while the sum is 24.

The square root of 99123 is about 314.8380536085. The cubic root of 99123 is about 46.2798006140.

Subtracting from 99123 its sum of digits (24), we obtain a palindrome (99099).

It can be divided in two parts, 99 and 123, that added together give a palindrome (222).

The spelling of 99123 in words is "ninety-nine thousand, one hundred twenty-three".

Divisors: 1 3 19 37 47 57 111 141 703 893 1739 2109 2679 5217 33041 99123