Search a number
-
+
12230030430 = 234561324631
BaseRepresentation
bin10110110001111011…
…10111010001011110
31011120022221220210000
423120331313101132
5200021341433210
65341323555130
7612033354252
oct133075672136
934508856700
1012230030430
115206595972
12245398baa6
1311cba048c7
148403ba262
154b8a5cac0
hex2d8f7745e

12230030430 has 80 divisors (see below), whose sum is σ = 32940176544. Its totient is φ = 3255888960.

The previous prime is 12230030413. The next prime is 12230030437. The reversal of 12230030430 is 3403003221.

12230030430 is a `hidden beast` number, since 1 + 2 + 230 + 0 + 3 + 0 + 430 = 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 (12230030437) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 484215 + ... + 508845.

Almost surely, 212230030430 is an apocalyptic number.

12230030430 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 12230030430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16470088272).

12230030430 is an abundant number, since it is smaller than the sum of its proper divisors (20710146114).

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

12230030430 is a wasteful number, since it uses less digits than its factorization.

12230030430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25263 (or 25254 counting only the distinct ones).

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

Adding to 12230030430 its reverse (3403003221), we get a palindrome (15633033651).

The spelling of 12230030430 in words is "twelve billion, two hundred thirty million, thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 613 810 1226 1839 3065 3678 5517 6130 9195 11034 16551 18390 24631 27585 33102 49262 49653 55170 73893 82755 99306 123155 147786 165510 221679 246310 248265 369465 443358 496530 665037 738930 1108395 1330074 1995111 2216790 3325185 3990222 6650370 9975555 15098803 19951110 30197606 45296409 75494015 90592818 135889227 150988030 226482045 271778454 407667681 452964090 679446135 815335362 1223003043 1358892270 2038338405 2446006086 4076676810 6115015215 12230030430