Search a number
-
+
12310230022332 = 223114311549187793
BaseRepresentation
bin1011001100100011001011…
…1000110011100010111100
31121120211212002121002222120
42303020302320303202330
53103142322341203312
642103124104042540
72410245655465014
oct263106270634274
947524762532876
1012310230022332
113a16814a14310
12146997b163450
136b3b07a75138
14307b6563cc44
1516533d77728c
hexb3232e338bc

12310230022332 has 96 divisors (see below), whose sum is σ = 32066802028800. Its totient is φ = 3643284986880.

The previous prime is 12310230022273. The next prime is 12310230022369. The reversal of 12310230022332 is 23322003201321.

12310230022332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123102300223322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65458228 + ... + 65646020.

It is an arithmetic number, because the mean of its divisors is an integer number (334029187800).

Almost surely, 212310230022332 is an apocalyptic number.

12310230022332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12310230022332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16033401014400).

12310230022332 is an abundant number, since it is smaller than the sum of its proper divisors (19756572006468).

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

12310230022332 is a wasteful number, since it uses less digits than its factorization.

12310230022332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199403 (or 199401 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12310230022332 its reverse (23322003201321), we get a palindrome (35632233223653).

The spelling of 12310230022332 in words is "twelve trillion, three hundred ten billion, two hundred thirty million, twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 5676 11549 23098 34647 46196 69294 127039 138588 187793 254078 375586 381117 496607 508156 563379 751172 762234 993214 1126758 1489821 1524468 1986428 2065723 2253516 2979642 4131446 5462677 5959284 6197169 8075099 8262892 10925354 12394338 16150198 16388031 21850708 24225297 24788676 32300396 32776062 48450594 65552124 88826089 96901188 177652178 266478267 355304356 532956534 1065913068 2168821357 4337642714 6506464071 8675285428 13012928142 23857034927 26025856284 47714069854 71571104781 93259318351 95428139708 143142209562 186518636702 279777955053 286284419124 373037273404 559555910106 1025852501861 1119111820212 2051705003722 3077557505583 4103410007444 6155115011166 12310230022332