Search a number
-
+
123321105 = 3252740469
BaseRepresentation
bin1110101100110…
…11101100010001
322121001100202100
413112123230101
5223032233410
620123111013
73025132515
oct726335421
9277040670
10123321105
116367aa76
1235372469
131c71a78b
1412542145
15ac5e8c0
hex759bb11

123321105 has 12 divisors (see below), whose sum is σ = 213756660. Its totient is φ = 65771232.

The previous prime is 123321103. The next prime is 123321113. The reversal of 123321105 is 501123321.

It can be written as a sum of positive squares in 2 ways, for example, as 96353856 + 26967249 = 9816^2 + 5193^2 .

It is not a de Polignac number, because 123321105 - 21 = 123321103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123321103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1370190 + ... + 1370279.

It is an arithmetic number, because the mean of its divisors is an integer number (17813055).

Almost surely, 2123321105 is an apocalyptic number.

123321105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123321105 is a deficient number, since it is larger than the sum of its proper divisors (90435555).

123321105 is a wasteful number, since it uses less digits than its factorization.

123321105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740480 (or 2740477 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 123321105 is about 11105.0036019805. The cubic root of 123321105 is about 497.7513758721.

Adding to 123321105 its reverse (501123321), we get a palindrome (624444426).

The spelling of 123321105 in words is "one hundred twenty-three million, three hundred twenty-one thousand, one hundred five".

Divisors: 1 3 5 9 15 45 2740469 8221407 13702345 24664221 41107035 123321105