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22141253325051 = 3277110149009687
BaseRepresentation
bin1010000100011001010011…
…00010100001000011111011
32220101200110000100202010100
411002030221202201003323
510400230241322400201
6115031315032050443
74443436620001110
oct502145142410373
986350400322110
1022141253325051
11706706430a693
122597158b33a23
13c47bacc82243
145678dc98a907
15285e28b05886
hex1423298a10fb

22141253325051 has 48 divisors (see below), whose sum is σ = 37432423461888. Its totient is φ = 12350440872000.

The previous prime is 22141253325017. The next prime is 22141253325071. The reversal of 22141253325051 is 15052335214122.

22141253325051 is a `hidden beast` number, since 2 + 2 + 14 + 12 + 533 + 2 + 50 + 51 = 666.

It is not a de Polignac number, because 22141253325051 - 29 = 22141253324539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22141253324997 and 22141253325015.

It is not an unprimeable number, because it can be changed into a prime (22141253325071) 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, 24053071 + ... + 24956616.

It is an arithmetic number, because the mean of its divisors is an integer number (779842155456).

Almost surely, 222141253325051 is an apocalyptic number.

22141253325051 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22141253325051 is a deficient number, since it is larger than the sum of its proper divisors (15291170136837).

22141253325051 is a wasteful number, since it uses less digits than its factorization.

22141253325051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49009872 (or 49009869 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 22141253325051 its reverse (15052335214122), we get a palindrome (37193588539173).

The spelling of 22141253325051 in words is "twenty-two trillion, one hundred forty-one billion, two hundred fifty-three million, three hundred twenty-five thousand, fifty-one".

Divisors: 1 3 7 9 21 63 71 101 213 303 497 639 707 909 1491 2121 4473 6363 7171 21513 50197 64539 150591 451773 49009687 147029061 343067809 441087183 1029203427 3087610281 3479687777 4949978387 10439063331 14849935161 24357814439 31317189993 34649848709 44549805483 73073443317 103949546127 219220329951 311848638381 351448465477 1054345396431 2460139258339 3163036189293 7380417775017 22141253325051