Search a number
-
+
12310131330024 = 23311181703936599
BaseRepresentation
bin1011001100100010110100…
…0000010100101111101000
31121120211121012220000120220
42303020231000110233220
53103142122110030044
642103110220450040
72410243346560233
oct263105500245750
947524535800526
1012310131330024
113a16774236320
1214699520a9920
136b3ac049b918
14307b564ac41a
15165334c80019
hexb322d014be8

12310131330024 has 128 divisors (see below), whose sum is σ = 33764290560000. Its totient is φ = 3709104825600.

The previous prime is 12310131330019. The next prime is 12310131330041. The reversal of 12310131330024 is 42003313101321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12310131329976 and 12310131330003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336333277 + ... + 336369875.

It is an arithmetic number, because the mean of its divisors is an integer number (263783520000).

Almost surely, 212310131330024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12310131330024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16882145280000).

12310131330024 is an abundant number, since it is smaller than the sum of its proper divisors (21454159229976).

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

12310131330024 is a wasteful number, since it uses less digits than its factorization.

12310131330024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43839 (or 43835 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12310131330024 its reverse (42003313101321), we get a palindrome (54313444431345).

The spelling of 12310131330024 in words is "twelve trillion, three hundred ten billion, one hundred thirty-one million, three hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 181 264 362 543 724 1086 1448 1991 2172 3982 4344 5973 7039 7964 11946 14078 15928 21117 23892 28156 36599 42234 47784 56312 73198 77429 84468 109797 146396 154858 168936 219594 232287 292792 309716 402589 439188 464574 619432 805178 878376 929148 1207767 1274059 1610356 1858296 2415534 2548118 3220712 3822177 4831068 5096236 6624419 7644354 9662136 10192472 13248838 14014649 15288708 19873257 26497676 28029298 30577416 39746514 42043947 52995352 56058596 72868609 79493028 84087894 112117192 145737218 158986056 168175788 218605827 257620361 291474436 336351576 437211654 515240722 582948872 772861083 874423308 1030481444 1545722166 1748846616 2060962888 2833823971 3091444332 5667647942 6182888664 8501471913 11335295884 17002943826 22670591768 34005887652 46629285341 68011775304 93258570682 139887856023 186517141364 279775712046 373034282728 512922138751 559551424092 1025844277502 1119102848184 1538766416253 2051688555004 3077532832506 4103377110008 6155065665012 12310131330024