Search a number
-
+
123321213 = 321732789
BaseRepresentation
bin1110101100110…
…11101101111101
322121001100220100
413112123231331
5223032234323
620123111313
73025133031
oct726335575
9277040810
10123321213
1163680064
1235372539
131c71a842
14125421c1
15ac5e943
hex759bb7d

123321213 has 24 divisors (see below), whose sum is σ = 189329400. Its totient is φ = 77350272.

The previous prime is 123321203. The next prime is 123321223. The reversal of 123321213 is 312123321.

It is an interprime number because it is at equal distance from previous prime (123321203) and next prime (123321223).

It can be written as a sum of positive squares in 4 ways, for example, as 29192409 + 94128804 = 5403^2 + 9702^2 .

It is not a de Polignac number, because 123321213 - 24 = 123321197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123321203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42823 + ... + 45611.

It is an arithmetic number, because the mean of its divisors is an integer number (7888725).

Almost surely, 2123321213 is an apocalyptic number.

It is an amenable number.

123321213 is a deficient number, since it is larger than the sum of its proper divisors (66008187).

123321213 is an equidigital number, since it uses as much as digits as its factorization.

123321213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2809 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 123321213 is about 11105.0084646523. The cubic root of 123321213 is about 497.7515211760.

Adding to 123321213 its reverse (312123321), we get a palindrome (435444534).

The spelling of 123321213 in words is "one hundred twenty-three million, three hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 3 9 17 51 153 289 867 2601 2789 4913 8367 14739 25101 44217 47413 142239 426717 806021 2418063 7254189 13702357 41107071 123321213