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2021022112221 = 3374223139801
BaseRepresentation
bin11101011010001110010…
…011100001100111011101
321011012121111122210121000
4131122032103201213131
5231103023130042341
64144240021500513
7266004545340000
oct35321623414735
97135544583530
102021022112221
1170a124326952
12287830271739
1311877391bb28
146db647db537
15378888468b6
hex1d68e4e19dd

2021022112221 has 80 divisors (see below), whose sum is σ = 3508605201920. Its totient is φ = 1149682766400.

The previous prime is 2021022112211. The next prime is 2021022112267. The reversal of 2021022112221 is 1222112201202.

It is a happy number.

2021022112221 is a `hidden beast` number, since 2 + 0 + 210 + 221 + 12 + 221 = 666.

It is not a de Polignac number, because 2021022112221 - 223 = 2021013723613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2021022112194 and 2021022112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021022112211) 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 79 ways as a sum of consecutive naturals, for example, 14386521 + ... + 14526321.

It is an arithmetic number, because the mean of its divisors is an integer number (43857565024).

Almost surely, 22021022112221 is an apocalyptic number.

2021022112221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2021022112221 is a deficient number, since it is larger than the sum of its proper divisors (1487583089699).

2021022112221 is an equidigital number, since it uses as much as digits as its factorization.

2021022112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140061 (or 140034 counting only the distinct ones).

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

Adding to 2021022112221 its reverse (1222112201202), we get a palindrome (3243134313423).

The spelling of 2021022112221 in words is "two trillion, twenty-one billion, twenty-two million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 223 343 441 669 1029 1323 1561 2007 2401 3087 4683 6021 7203 9261 10927 14049 21609 32781 42147 64827 76489 98343 139801 229467 295029 419403 535423 688401 978607 1258209 1606269 2065203 2935821 3774627 4818807 6850249 8807463 14456421 20550747 26422389 31175623 47951743 61652241 93526869 143855229 184956723 218229361 280580607 335662201 431565687 654688083 841741821 1006986603 1294697061 1527605527 1964064249 3020959809 4582816581 5892192747 9062879427 10693238689 13748449743 32079716067 41245349229 74852670823 96239148201 224558012469 288717444603 673674037407 2021022112221