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21222111020022 = 232111713945358603
BaseRepresentation
bin1001101001101001010000…
…11000111000001111110110
32210010210222101221210221200
410310310220120320033312
510240200340410120042
6113045145254353330
74320150460214103
oct464645030701766
983123871853850
1021222111020022
1168422794587a0
122468ba205b846
13bac30c722133
14535227185aaa
1526c080ccec4c
hex134d286383f6

21222111020022 has 96 divisors (see below), whose sum is σ = 53494123213440. Its totient is φ = 6009107592960.

The previous prime is 21222111019951. The next prime is 21222111020029. The reversal of 21222111020022 is 22002011122212.

It is a happy number.

21222111020022 is a `hidden beast` number, since 212 + 221 + 1 + 10 + 200 + 22 = 666.

It is a super-2 number, since 2×212221110200222 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21222111019977 and 21222111020004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222111020029) 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, 22211428 + ... + 23147175.

It is an arithmetic number, because the mean of its divisors is an integer number (557230450140).

Almost surely, 221222111020022 is an apocalyptic number.

21222111020022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21222111020022 is an abundant number, since it is smaller than the sum of its proper divisors (32272012193418).

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

21222111020022 is a wasteful number, since it uses less digits than its factorization.

21222111020022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45358778 (or 45358775 counting only the distinct ones).

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

Adding to 21222111020022 its reverse (22002011122212), we get a palindrome (43224122142234).

The spelling of 21222111020022 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred eleven million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 139 153 187 198 278 306 374 417 561 834 1122 1251 1529 1683 2363 2502 3058 3366 4587 4726 7089 9174 13761 14178 21267 25993 27522 42534 51986 77979 155958 233937 467874 45358603 90717206 136075809 272151618 408227427 498944633 771096251 816454854 997889266 1496833899 1542192502 2313288753 2993667798 4490501697 4626577506 6304845817 6939866259 8482058761 8981003394 12609691634 13879732518 16964117522 18914537451 25446176283 37829074902 50892352566 56743612353 69353303987 76338528849 107182378889 113487224706 138706607974 152677057698 208059911961 214364757778 321547136667 416119823922 624179735883 643094273334 964641410001 1179006167779 1248359471766 1929282820002 2358012335558 3537018503337 7074037006674 10611055510011 21222111020022