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22021204332141 = 327273684037037
BaseRepresentation
bin1010000000111001101100…
…00011111100111001101101
32212222012120121000000222200
411000130312003330321231
510341243411302112031
6114500222425332113
74431656654254200
oct500346603747155
985865517000880
1022021204332141
11702015a832463
122577a34937039
13c3978a8a2cb1
14561b90d2d937
15282c4e6c38e6
hex1407360fce6d

22021204332141 has 36 divisors (see below), whose sum is σ = 37508486941692. Its totient is φ = 12411167981184.

The previous prime is 22021204332107. The next prime is 22021204332157. The reversal of 22021204332141 is 14123340212022.

22021204332141 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 12 + 0 + 433 + 214 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8569547809641 + 13451656522500 = 2927379^2 + 3667650^2 .

It is not a de Polignac number, because 22021204332141 - 29 = 22021204331629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021204332181) 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 35 ways as a sum of consecutive naturals, for example, 341986326 + ... + 342050711.

It is an arithmetic number, because the mean of its divisors is an integer number (1041902415047).

Almost surely, 222021204332141 is an apocalyptic number.

22021204332141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22021204332141 is a deficient number, since it is larger than the sum of its proper divisors (15487282609551).

22021204332141 is a wasteful number, since it uses less digits than its factorization.

22021204332141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684037130 (or 684037120 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22021204332141 its reverse (14123340212022), we get a palindrome (36144544544163).

The spelling of 22021204332141 in words is "twenty-two trillion, twenty-one billion, two hundred four million, three hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 49 63 73 147 219 441 511 657 1533 3577 4599 10731 32193 684037037 2052111111 4788259259 6156333333 14364777777 33517814813 43094333331 49934703701 100553444439 149804111103 301660333317 349542925907 449412333309 1048628777721 2446800481349 3145886333163 7340401444047 22021204332141