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21022122002022 = 23311317029202309
BaseRepresentation
bin1001100011110100110000…
…00111010100011001100110
32202102200202211100001221000
410301322120013110121212
510223411301213031042
6112413232435534130
74266540531466431
oct461723007243146
982380684301830
1021022122002022
116775482908529
12243628a15a346
13b964ba7797ab
14529694722818
15266c787c974c
hex131e981d4666

21022122002022 has 64 divisors (see below), whose sum is σ = 47132241624000. Its totient is φ = 6944919657984.

The previous prime is 21022122001967. The next prime is 21022122002047. The reversal of 21022122002022 is 22020022122012.

21022122002022 is a `hidden beast` number, since 21 + 0 + 221 + 220 + 0 + 202 + 2 = 666.

It is a super-2 number, since 2×210221220020222 (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 = 21022122001986 and 21022122002004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103809804 + ... + 104012112.

It is an arithmetic number, because the mean of its divisors is an integer number (736441275375).

Almost surely, 221022122002022 is an apocalyptic number.

21022122002022 is an abundant number, since it is smaller than the sum of its proper divisors (26110119621978).

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

21022122002022 is a wasteful number, since it uses less digits than its factorization.

21022122002022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219462 (or 219456 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21022122002022 its reverse (22020022122012), we get a palindrome (43042144124034).

The spelling of 21022122002022 in words is "twenty-one trillion, twenty-two billion, one hundred twenty-two million, two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 2034 3051 6102 17029 34058 51087 102174 153261 202309 306522 404618 459783 606927 919566 1213854 1820781 1924277 3641562 3848554 5462343 5772831 10924686 11545662 17318493 22860917 34636986 45721834 51955479 68582751 103910958 137165502 205748253 411496506 617244759 1234489518 3445119961 6890239922 10335359883 20670719766 31006079649 62012159298 93018238947 186036477894 389298555593 778597111186 1167895666779 2335791333558 3503687000337 7007374000674 10511061001011 21022122002022