Search a number
-
+
21222201210021 = 337891261649201
BaseRepresentation
bin1001101001101001011011…
…10000111011010010100101
32210010211012200122221101000
410310310231300323102211
510240201032002210041
6113045202235423513
74320152633630520
oct464645560732245
983124180587330
1021222201210021
116842315359889
1224690082b4b99
13bac32530c6b6
14535235141bb7
1526c088b97bb6
hex134d2dc3b4a5

21222201210021 has 32 divisors (see below), whose sum is σ = 36335497017600. Its totient is φ = 11990713996800.

The previous prime is 21222201209981. The next prime is 21222201210137. The reversal of 21222201210021 is 12001210222212.

It is a happy number.

21222201210021 is a `hidden beast` number, since 212 + 2 + 220 + 1 + 210 + 0 + 21 = 666.

It is not a de Polignac number, because 21222201210021 - 211 = 21222201207973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21222201209976 and 21222201210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222201200021) 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 31 ways as a sum of consecutive naturals, for example, 630807780 + ... + 630841421.

It is an arithmetic number, because the mean of its divisors is an integer number (1135484281800).

Almost surely, 221222201210021 is an apocalyptic number.

21222201210021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21222201210021 is a deficient number, since it is larger than the sum of its proper divisors (15113295807579).

21222201210021 is a wasteful number, since it uses less digits than its factorization.

21222201210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261649306 (or 1261649300 counting only the distinct ones).

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

Adding to 21222201210021 its reverse (12001210222212), we get a palindrome (33223411432233).

The spelling of 21222201210021 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred one million, two hundred ten thousand, twenty-one".

Divisors: 1 3 7 9 21 27 63 89 189 267 623 801 1869 2403 5607 16821 1261649201 3784947603 8831544407 11354842809 26494633221 34064528427 79483899663 112286778889 238451698989 336860336667 786007452223 1010581010001 2358022356669 3031743030003 7074067070007 21222201210021