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21011222220102 = 232192325511047097
BaseRepresentation
bin1001100011100000011100…
…11011111100110101000110
32202101122122012110210001100
410301300032123330311012
510223221440342020402
6112404231111440530
74266003450044532
oct461601633746506
982348565423040
1021011222220102
11677089a1aaaa4
122434147986146
13b95471540caa
14528d3cc9cbc2
1526683b93471c
hex131c0e6fcd46

21011222220102 has 96 divisors (see below), whose sum is σ = 50023473477120. Its totient is φ = 6344145244800.

The previous prime is 21011222220077. The next prime is 21011222220103. The reversal of 21011222220102 is 20102222211012.

It is a happy number.

21011222220102 is a `hidden beast` number, since 210 + 1 + 1 + 222 + 220 + 10 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21011222220103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19542618 + ... + 20589714.

It is an arithmetic number, because the mean of its divisors is an integer number (521077848720).

Almost surely, 221011222220102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21011222220102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25011736738560).

21011222220102 is an abundant number, since it is smaller than the sum of its proper divisors (29012251257018).

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

21011222220102 is a wasteful number, since it uses less digits than its factorization.

21011222220102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049698 (or 1049695 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21011222220102 its reverse (20102222211012), we get a palindrome (41113444431114).

The spelling of 21011222220102 in words is "twenty-one trillion, eleven billion, two hundred twenty-two million, two hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 342 414 437 874 1311 2551 2622 3933 5102 7653 7866 15306 22959 45918 48469 58673 96938 117346 145407 176019 290814 352038 436221 528057 872442 1047097 1056114 1114787 2094194 2229574 3141291 3344361 6282582 6688722 9423873 10033083 18847746 19894843 20066166 24083231 39789686 48166462 59684529 72249693 119369058 144499386 179053587 216749079 358107174 433498158 457581389 915162778 1372744167 2671144447 2745488334 4118232501 5342288894 8013433341 8236465002 16026866682 24040300023 48080600046 50751744493 61436322281 101503488986 122872644562 152255233479 184308966843 304510466958 368617933686 456765700437 552926900529 913531400874 1105853801058 1167290123339 2334580246678 3501870370017 7003740740034 10505611110051 21011222220102