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123324030 = 232510113567
BaseRepresentation
bin1110101100111…
…00011001111110
322121001111202200
413112130121332
5223032332110
620123132330
73025144164
oct726343176
9277044680
10123324030
1163682195
12353740a6
131c71bbcb
1412543234
15ac606c0
hex759c67e

123324030 has 48 divisors (see below), whose sum is σ = 323841024. Its totient is φ = 32558400.

The previous prime is 123324013. The next prime is 123324067. The reversal of 123324030 is 30423321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123323994 and 123324012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2307 + ... + 15873.

It is an arithmetic number, because the mean of its divisors is an integer number (6746688).

Almost surely, 2123324030 is an apocalyptic number.

123324030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123324030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161920512).

123324030 is an abundant number, since it is smaller than the sum of its proper divisors (200516994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123324030 is a wasteful number, since it uses less digits than its factorization.

123324030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13681 (or 13678 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 123324030 is about 11105.1352985905. The cubic root of 123324030 is about 497.7553111575.

Adding to 123324030 its reverse (30423321), we get a palindrome (153747351).

The spelling of 123324030 in words is "one hundred twenty-three million, three hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 13567 27134 40701 67835 81402 122103 135670 203505 244206 407010 610515 1221030 1370267 2740534 4110801 6851335 8221602 12332403 13702670 20554005 24664806 41108010 61662015 123324030