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21102202212021 = 32710727671131343
BaseRepresentation
bin1001100110001001111010…
…10001000100111010110101
32202201100110202101020100200
410303010331101010322311
510231214302231241041
6112514115020431113
74305404146160430
oct463047521047265
982640422336320
1021102202212021
1167a6437019567
1224498b89a8499
13ba0c103b6438
1452d4cddba817
15268db3d3e1b6
hex13313d444eb5

21102202212021 has 48 divisors (see below), whose sum is σ = 35173684076544. Its totient is φ = 11941378165152.

The previous prime is 21102202211999. The next prime is 21102202212043. The reversal of 21102202212021 is 12021220220112.

It is a happy number.

21102202212021 is a `hidden beast` number, since 21 + 1 + 0 + 220 + 221 + 202 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (21102202211999) and next prime (21102202212043).

It is not a de Polignac number, because 21102202212021 - 26 = 21102202211957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21102202211985 and 21102202212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102202212821) 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, 18086676 + ... + 19218018.

It is an arithmetic number, because the mean of its divisors is an integer number (732785084928).

Almost surely, 221102202212021 is an apocalyptic number.

21102202212021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21102202212021 is a deficient number, since it is larger than the sum of its proper divisors (14071481864523).

21102202212021 is a wasteful number, since it uses less digits than its factorization.

21102202212021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134230 (or 1134227 counting only the distinct ones).

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

Adding to 21102202212021 its reverse (12021220220112), we get a palindrome (33123422432133).

It can be divided in two parts, 2110220 and 2212021, that added together give a square (4322241 = 20792).

The spelling of 21102202212021 in words is "twenty-one trillion, one hundred two billion, two hundred two million, two hundred twelve thousand, twenty-one".

Divisors: 1 3 7 9 21 63 107 321 749 963 2247 2767 6741 8301 19369 24903 58107 174321 296069 888207 1131343 2072483 2664621 3394029 6217449 7919401 10182087 18652347 23758203 71274609 121053701 363161103 847375907 1089483309 2542127721 3130426081 7626383163 9391278243 21912982567 28173834729 65738947701 197216843103 334955590667 1004866772001 2344689134669 3014600316003 7034067404007 21102202212021