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21112211121021 = 35534433700393
BaseRepresentation
bin1001100110011100100011…
…10110000010001101111101
32202202022022021220111100000
410303032101312002031331
510231400302021333041
6112522452122224513
74306210162406226
oct463162166021575
982668267814300
1021112211121021
1167aa702868a89
12244b830955139
13ba1b46ba29b7
1452db9d3bc24d
1526929c8abbb6
hex133391d8237d

21112211121021 has 48 divisors (see below), whose sum is σ = 32294315342016. Its totient is φ = 13778069175936.

The previous prime is 21112211120929. The next prime is 21112211121031. The reversal of 21112211121021 is 12012111221112.

It is a happy number.

21112211121021 is a `hidden beast` number, since 211 + 1 + 221 + 1 + 1 + 210 + 21 = 666.

It is not a de Polignac number, because 21112211121021 - 219 = 21112210596733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21112211120985 and 21112211121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112211121031) 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, 3855201 + ... + 7555593.

It is an arithmetic number, because the mean of its divisors is an integer number (672798236292).

Almost surely, 221112211121021 is an apocalyptic number.

It is an amenable number.

21112211121021 is a deficient number, since it is larger than the sum of its proper divisors (11182104220995).

21112211121021 is an equidigital number, since it uses as much as digits as its factorization.

21112211121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700904 (or 3700892 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21112211121021 its reverse (12012111221112), we get a palindrome (33124322342133).

The spelling of 21112211121021 in words is "twenty-one trillion, one hundred twelve billion, two hundred eleven million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 27 53 81 159 243 443 477 1329 1431 3987 4293 11961 12879 23479 35883 70437 107649 211311 633933 1901799 3700393 5705397 11101179 33303537 99910611 196120829 299731833 588362487 899195499 1639274099 1765087461 4917822297 5295262383 14753466891 15885787149 44260400673 47657361447 86881527247 132781202019 260644581741 398343606057 781933745223 2345801235669 7037403707007 21112211121021