Search a number
-
+
21116324124 = 223274712911381
BaseRepresentation
bin10011101010101000…
…011000100100011100
32000111122002102001200
4103222220120210130
5321221234332444
613411204035500
71345165536120
oct235250304434
960448072050
1021116324124
118a56683945
124113992b90
131cb6a5285c
141044673580
15838c78969
hex4eaa1891c

21116324124 has 144 divisors (see below), whose sum is σ = 62394049536. Its totient is φ = 5896022400.

The previous prime is 21116324093. The next prime is 21116324137. The reversal of 21116324124 is 42142361112.

21116324124 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 632 + 4 + 1 + 24 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 15289914 + ... + 15291294.

Almost surely, 221116324124 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 21116324124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31197024768).

21116324124 is an abundant number, since it is smaller than the sum of its proper divisors (41277725412).

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

21116324124 is a wasteful number, since it uses less digits than its factorization.

21116324124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2731 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 21116324124 its reverse (42142361112), we get a palindrome (63258685236).

The spelling of 21116324124 in words is "twenty-one billion, one hundred sixteen million, three hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1291 1316 1381 1692 1974 2582 2762 2961 3873 3948 4143 5164 5524 5922 7746 8286 9037 9667 11619 11844 12429 15492 16572 18074 19334 23238 24858 27111 29001 36148 38668 46476 49716 54222 58002 60677 64907 81333 87003 108444 116004 121354 129814 162666 174006 182031 194721 242708 259628 325332 348012 364062 389442 424739 454349 546093 584163 728124 778884 849478 908698 1092186 1168326 1274217 1363047 1698956 1782871 1817396 2184372 2336652 2548434 2726094 3565742 3822651 4089141 5096868 5348613 5452188 7131484 7645302 8178282 10697226 12480097 15290604 16045839 16356564 21394452 24960194 32091678 37440291 49920388 64183356 74880582 83794937 112320873 149761164 167589874 224641746 251384811 335179748 449283492 502769622 586564559 754154433 1005539244 1173129118 1508308866 1759693677 2346258236 3016617732 3519387354 5279081031 7038774708 10558162062 21116324124