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22132141124211 = 3243163617568643
BaseRepresentation
bin1010000100001000010100…
…11010001110101001110011
32220100210220222010222111100
411002010022122032221303
510400103111111433321
6115023210522015443
74442665042400646
oct502041232165163
986323828128440
1022132141124211
117063208754298
122595435347583
13c4708a1a8c21
145672b66c9a5d
15285a93b64326
hex14210a68ea73

22132141124211 has 48 divisors (see below), whose sum is σ = 32966194225536. Its totient is φ = 14299972460928.

The previous prime is 22132141124209. The next prime is 22132141124227. The reversal of 22132141124211 is 11242114123122.

22132141124211 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 2 + 1 + 411 + 242 + 1 + 1 = 666.

It is not a de Polignac number, because 22132141124211 - 21 = 22132141124209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22132141124201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38636656 + ... + 39205298.

It is an arithmetic number, because the mean of its divisors is an integer number (686795713032).

Almost surely, 222132141124211 is an apocalyptic number.

22132141124211 is a deficient number, since it is larger than the sum of its proper divisors (10834053101325).

22132141124211 is a wasteful number, since it uses less digits than its factorization.

22132141124211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569472 (or 569469 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 22132141124211 its reverse (11242114123122), we get a palindrome (33374255247333).

The spelling of 22132141124211 in words is "twenty-two trillion, one hundred thirty-two billion, one hundred forty-one million, one hundred twenty-four thousand, two hundred eleven".

Divisors: 1 3 9 43 129 163 387 489 617 1467 1851 5553 7009 21027 26531 63081 79593 100571 238779 301713 568643 905139 1705929 4324553 5117787 12973659 24451649 38920977 73354947 92688809 220064841 278066427 350852731 834199281 1052558193 3157674579 3985618787 11956856361 15086667433 35870569083 45260002299 57188995153 135780006897 171566985459 514700956377 2459126791579 7377380374737 22132141124211