Search a number
-
+
21011000032332 = 223297233191313499
BaseRepresentation
bin1001100011100000000010…
…01100010111110001001100
32202101122001201101110201200
410301300001030113301030
510223221012002013312
6112404153053305500
74265665111350012
oct461600114276114
982348051343650
1021011000032332
116770795843042
1224340a5495290
13b954374b883b
14528d1b5828b2
152668271960dc
hex131c01317c4c

21011000032332 has 144 divisors (see below), whose sum is σ = 53921135268000. Its totient is φ = 6897596350464.

The previous prime is 21011000032331. The next prime is 21011000032339. The reversal of 21011000032332 is 23323000011012.

21011000032332 is a `hidden beast` number, since 210 + 1 + 100 + 0 + 0 + 323 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21011000032331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1556478919 + ... + 1556492417.

It is an arithmetic number, because the mean of its divisors is an integer number (374452328250).

Almost surely, 221011000032332 is an apocalyptic number.

It is an amenable number.

21011000032332 is an abundant number, since it is smaller than the sum of its proper divisors (32910135235668).

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

21011000032332 is a wasteful number, since it uses less digits than its factorization.

21011000032332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15752 (or 15747 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21011000032332 its reverse (23323000011012), we get a palindrome (44334000043344).

The spelling of 21011000032332 in words is "twenty-one trillion, eleven billion, thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 233 291 388 466 582 699 873 932 1164 1398 1746 1913 2097 2796 3492 3826 4194 5739 7652 8388 11478 13499 17217 22601 22956 26998 34434 40497 45202 53996 67803 68868 80994 90404 121491 135606 161988 185561 203409 242982 271212 371122 406818 445729 485964 556683 742244 813636 891458 1113366 1309403 1337187 1670049 1782916 2226732 2618806 2674374 3145267 3340098 3928209 4011561 5237612 5348748 6290534 6680196 7856418 8023122 9435801 11784627 12581068 15712836 16046244 18871602 23569254 25823587 28307403 37743204 43235713 47138508 51647174 56614806 77470761 86471426 103294348 113229612 129707139 154941522 172942852 232412283 259414278 305090899 309883044 389121417 464824566 518828556 610181798 778242834 915272697 929649132 1220363596 1556485668 1830545394 2504887939 2745818091 3661090788 5009775878 5491636182 6016895771 7514663817 10019551756 10983272364 12033791542 15029327634 18050687313 22543991451 24067583084 30058655268 36101374626 45087982902 54152061939 72202749252 90175965804 108304123878 216608247756 583638889787 1167277779574 1750916669361 2334555559148 3501833338722 5252750008083 7003666677444 10505500016166 21011000032332