Search a number
-
+
232300313223012 = 223317126525225067
BaseRepresentation
bin110100110100011010100001…
…101001101001111101100100
31010110111200201020111001222000
4310310122201221221331210
5220422002020141114022
62142021142440205300
766634100213546166
oct6464324151517544
91113450636431860
10232300313223012
1168022011837581
1222079434a69830
139c80a9693b748
144151576418936
151bcc9e6c766ac
hexd346a1a69f64

232300313223012 has 48 divisors (see below), whose sum is σ = 637687134342720. Its totient is φ = 72878529638016.

The previous prime is 232300313222987. The next prime is 232300313223071. The reversal of 232300313223012 is 210322313003232.

232300313223012 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 0 + 0 + 31 + 322 + 301 + 2 = 666.

232300313223012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63262610698 + ... + 63262614369.

It is an arithmetic number, because the mean of its divisors is an integer number (13285148632140).

Almost surely, 2232300313223012 is an apocalyptic number.

It is an amenable number.

232300313223012 is an abundant number, since it is smaller than the sum of its proper divisors (405386821119708).

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

232300313223012 is a wasteful number, since it uses less digits than its factorization.

232300313223012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126525225097 (or 126525225089 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 232300313223012 its reverse (210322313003232), we get a palindrome (442622626226244).

The spelling of 232300313223012 in words is "two hundred thirty-two trillion, three hundred billion, three hundred thirteen million, two hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 126525225067 253050450134 379575675201 506100900268 759151350402 1138727025603 1518302700804 2150928826139 2277454051206 3416181076809 4301857652278 4554908102412 6452786478417 6832362153618 8603715304556 12905572956834 13664724307236 19358359435251 25811145913668 38716718870502 58075078305753 77433437741004 116150156611506 232300313223012