Search a number
-
+
123313230 = 232519371949
BaseRepresentation
bin1110101100110…
…01110001001110
322121000221221200
413112121301032
5223032010410
620123010330
73025100535
oct726316116
9277027850
10123313230
1163675067
12353699a6
131c717011
141253d31c
15ac5c3c0
hex7599c4e

123313230 has 96 divisors (see below), whose sum is σ = 346788000. Its totient is φ = 30295296.

The previous prime is 123313219. The next prime is 123313231. The reversal of 123313230 is 32313321.

123313230 is a `hidden beast` number, since 12 + 331 + 323 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123313231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62296 + ... + 64244.

It is an arithmetic number, because the mean of its divisors is an integer number (3612375).

Almost surely, 2123313230 is an apocalyptic number.

123313230 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 123313230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173394000).

123313230 is an abundant number, since it is smaller than the sum of its proper divisors (223474770).

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

123313230 is a wasteful number, since it uses less digits than its factorization.

123313230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 123313230 is about 11104.6490264213. The cubic root of 123313230 is about 497.7407805634.

Adding to 123313230 its reverse (32313321), we get a palindrome (155626551).

Subtracting from 123313230 its reverse (32313321), we obtain a palindrome (90999909).

The spelling of 123313230 in words is "one hundred twenty-three million, three hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 37 38 45 57 74 90 95 111 114 171 185 190 222 285 333 342 370 555 570 666 703 855 1110 1406 1665 1710 1949 2109 3330 3515 3898 4218 5847 6327 7030 9745 10545 11694 12654 17541 19490 21090 29235 31635 35082 37031 58470 63270 72113 74062 87705 111093 144226 175410 185155 216339 222186 333279 360565 370310 432678 555465 649017 666558 721130 1081695 1110930 1298034 1370147 1666395 2163390 2740294 3245085 3332790 4110441 6490170 6850735 8220882 12331323 13701470 20552205 24662646 41104410 61656615 123313230