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21112211212020 = 223251131037965153
BaseRepresentation
bin1001100110011100100011…
…10110011000011011110100
32202202022022022002010011100
410303032101312120123310
510231400302032241040
6112522452124210100
74306210163235435
oct463162166303364
982668268063140
1021112211212020
1167aa702920395
12244b830999930
13ba1b46c05246
1452db9d40348c
1526929c8c8b30
hex133391d986f4

21112211212020 has 72 divisors (see below), whose sum is σ = 64607103045576. Its totient is φ = 5580100657152.

The previous prime is 21112211211997. The next prime is 21112211212031. The reversal of 21112211212020 is 2021211221112.

21112211212020 is a `hidden beast` number, since 211 + 1 + 221 + 1 + 212 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17333828964 + 21094877383056 = 131658^2 + 4592916^2 .

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 = 21112211211984 and 21112211212002.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 518962237 + ... + 519002916.

It is an arithmetic number, because the mean of its divisors is an integer number (897320875633).

Almost surely, 221112211212020 is an apocalyptic number.

21112211212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112211212020 is an abundant number, since it is smaller than the sum of its proper divisors (43494891833556).

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

21112211212020 is a wasteful number, since it uses less digits than its factorization.

21112211212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037965281 (or 1037965276 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21112211212020 its reverse (2021211221112), we get a palindrome (23133422433132).

The spelling of 21112211212020 in words is "twenty-one trillion, one hundred twelve billion, two hundred eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 20340 1037965153 2075930306 3113895459 4151860612 5189825765 6227790918 9341686377 10379651530 12455581836 15569477295 18683372754 20759303060 31138954590 37366745508 46708431885 62277909180 93416863770 117290062289 186833727540 234580124578 351870186867 469160249156 586450311445 703740373734 1055610560601 1172900622890 1407480747468 1759350934335 2111221121202 2345801245780 3518701868670 4222442242404 5278052803005 7037403737340 10556105606010 21112211212020