Search a number
-
+
21221111000012 = 22711197945902539
BaseRepresentation
bin1001101001100111011001…
…10010000110101111001100
32210010201101201020112101112
410310303230302012233030
510240141313404000022
6113044502132431152
74320113625200630
oct464635462065714
983121351215345
1021221111000012
116841905a20980
1224689631784b8
13bac1b04a8b11
14535170430dc0
1526c0230e78e2
hex134cecc86bcc

21221111000012 has 96 divisors (see below), whose sum is σ = 49354411008000. Its totient is φ = 7733659602240.

The previous prime is 21221110999961. The next prime is 21221111000021. The reversal of 21221111000012 is 21000011112212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22488962 + ... + 23413577.

It is an arithmetic number, because the mean of its divisors is an integer number (514108448000).

Almost surely, 221221111000012 is an apocalyptic number.

21221111000012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21221111000012 is an abundant number, since it is smaller than the sum of its proper divisors (28133300007988).

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

21221111000012 is a wasteful number, since it uses less digits than its factorization.

21221111000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45902659 (or 45902657 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21221111000012 its reverse (21000011112212), we get a palindrome (42221122112224).

The spelling of 21221111000012 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred eleven million, twelve", and thus it is an aban number.

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 79 133 154 158 209 266 308 316 418 532 553 836 869 1106 1463 1501 1738 2212 2926 3002 3476 5852 6004 6083 10507 12166 16511 21014 24332 33022 42028 66044 115577 231154 462308 45902539 91805078 183610156 321317773 504927929 642635546 872148241 1009855858 1285271092 1744296482 2019711716 3488592964 3534495503 3626300581 6105037687 7068991006 7252601162 9593630651 12210075374 14137982012 14505202324 19187261302 24420150748 25384104067 38374522604 39889306391 50768208134 67155414557 68899711039 79778612782 101536416268 134310829114 137799422078 159557225564 268621658228 275598844156 279225144737 482297977273 558450289474 757896821429 964595954546 1116900578948 1515793642858 1929191909092 3031587285716 5305277750003 10610555500006 21221111000012