Search a number
-
+
30332302210332 = 223217467401926407
BaseRepresentation
bin1101110010110010010100…
…00110010011010100011100
310222101201222021221002110200
412321121022012103110130
512433431023331212312
6144302244532503500
76250302503516103
oct671311206232434
9128351867832420
1030332302210332
119734947922051
12349a72a77ab90
1313c04295a0185
1476c13c5bd03a
1537902d26d0dc
hex1b964a19351c

30332302210332 has 144 divisors (see below), whose sum is σ = 81380680093440. Its totient is φ = 9492917285376.

The previous prime is 30332302210321. The next prime is 30332302210351. The reversal of 30332302210332 is 23301220323303.

30332302210332 is a `hidden beast` number, since 3 + 0 + 3 + 3 + 2 + 302 + 21 + 0 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30332302210296 and 30332302210305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1148633073 + ... + 1148659479.

It is an arithmetic number, because the mean of its divisors is an integer number (565143611760).

Almost surely, 230332302210332 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 30332302210332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40690340046720).

30332302210332 is an abundant number, since it is smaller than the sum of its proper divisors (51048377883108).

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

30332302210332 is a wasteful number, since it uses less digits than its factorization.

30332302210332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30920 (or 30915 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 30332302210332 its reverse (23301220323303), we get a palindrome (53633522533635).

The spelling of 30332302210332 in words is "thirty trillion, three hundred thirty-two billion, three hundred two million, two hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 467 612 934 1401 1868 2802 4019 4203 5604 7939 8038 8406 12057 15878 16076 16812 23817 24114 26407 31756 36171 47634 48228 52814 68323 71451 72342 79221 95268 105628 136646 142902 144684 158442 204969 237663 273292 285804 316884 409938 448919 475326 614907 819876 897838 950652 1229814 1346757 1795676 1876873 2459628 2693514 3753746 4040271 5387028 5630619 7507492 8080542 11261238 12332069 16161084 16891857 22522476 24664138 31906841 33783714 36996207 49328276 63813682 67567428 73992414 95720523 106129733 110988621 127627364 147984828 191441046 209645173 212259466 221977242 287161569 318389199 382882092 419290346 424518932 443954484 574323138 628935519 636778398 838580692 955167597 1148646276 1257871038 1273556796 1804205461 1886806557 1910335194 2515742076 3608410922 3773613114 3820670388 5412616383 7216821844 7547226228 10825232766 16237849149 21650465532 32475698298 49562585311 64951396596 99125170622 148687755933 198250341244 297375511866 446063267799 594751023732 842563950287 892126535598 1685127900574 1784253071196 2527691850861 3370255801148 5055383701722 7583075552583 10110767403444 15166151105166 30332302210332