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22112112102021 = 3214531690916273
BaseRepresentation
bin1010000011100011000001…
…00101100100101010000101
32220021220020010000020021200
411001301200211210222011
510344241101144231041
6115010055234333113
74441355515460154
oct501614045445205
986256203006250
1022112112102021
11705576a902497
12259158572a199
13c452177ac3c6
1456633660b59b
152852c05b41b6
hex141c60964a85

22112112102021 has 12 divisors (see below), whose sum is σ = 31961699411148. Its totient is φ = 14731262561664.

The previous prime is 22112112101987. The next prime is 22112112102071. The reversal of 22112112102021 is 12020121121122.

22112112102021 is a `hidden beast` number, since 221 + 1 + 211 + 210 + 2 + 0 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16965048888225 + 5147063213796 = 4118865^2 + 2268714^2 .

It is not a de Polignac number, because 22112112102021 - 210 = 22112112100997 is a prime.

It is a super-2 number, since 2×221121121020212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22112112101985 and 22112112102003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112112102071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 845445060 + ... + 845471213.

It is an arithmetic number, because the mean of its divisors is an integer number (2663474950929).

Almost surely, 222112112102021 is an apocalyptic number.

It is an amenable number.

22112112102021 is a deficient number, since it is larger than the sum of its proper divisors (9849587309127).

22112112102021 is a wasteful number, since it uses less digits than its factorization.

22112112102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690917732 (or 1690917729 counting only the distinct ones).

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

Adding to 22112112102021 its reverse (12020121121122), we get a palindrome (34132233223143).

The spelling of 22112112102021 in words is "twenty-two trillion, one hundred twelve billion, one hundred twelve million, one hundred two thousand, twenty-one".

Divisors: 1 3 9 1453 4359 13077 1690916273 5072748819 15218246457 2456901344669 7370704034007 22112112102021