Search a number
-
+
22121022120021 = 3211551940486441
BaseRepresentation
bin1010000011110011100111…
…01010100110000001010101
32220022202020001210001012100
411001321303222212001111
510344412323130320041
6115014131323112313
74442122356412056
oct501716352460125
986282201701170
1022121022120021
117059522324930
122593251672699
13c460077159c6
1456693dabc72d
152856429196b6
hex141e73aa6055

22121022120021 has 24 divisors (see below), whose sum is σ = 34863684935040. Its totient is φ = 13404250555200.

The previous prime is 22121022120013. The next prime is 22121022120023. The reversal of 22121022120021 is 12002122012122.

It is a happy number.

22121022120021 is a `hidden beast` number, since 2 + 212 + 10 + 221 + 200 + 21 = 666.

It is not a de Polignac number, because 22121022120021 - 23 = 22121022120013 is a prime.

It is a super-3 number, since 3×221210221200213 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22121022119976 and 22121022120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121022120023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19696840 + ... + 20789601.

It is an arithmetic number, because the mean of its divisors is an integer number (1452653538960).

Almost surely, 222121022120021 is an apocalyptic number.

It is an amenable number.

22121022120021 is a deficient number, since it is larger than the sum of its proper divisors (12742662815019).

22121022120021 is a wasteful number, since it uses less digits than its factorization.

22121022120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40491977 (or 40491974 counting only the distinct ones).

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

Adding to 22121022120021 its reverse (12002122012122), we get a palindrome (34123144132143).

The spelling of 22121022120021 in words is "twenty-two trillion, one hundred twenty-one billion, twenty-two million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 9 11 33 99 5519 16557 49671 60709 182127 546381 40486441 121459323 364377969 445350851 1336052553 4008157659 223444667879 670334003637 2011002010911 2457891346669 7373674040007 22121022120021