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22245540503121 = 331383431759641
BaseRepresentation
bin1010000111011011100011…
…00010100001111001010001
32220202122121222002022002000
411003231301202201321101
510403432331332044441
6115151243224144213
74454121142251045
oct503556142417121
986678558068060
1022245540503121
1170a730a746061
1225b3402608069
13c5498ca42030
1456c993158025
152889ce3e02b6
hex143b718a1e51

22245540503121 has 32 divisors (see below), whose sum is σ = 35491932752640. Its totient is φ = 13689381283200.

The previous prime is 22245540503041. The next prime is 22245540503149. The reversal of 22245540503121 is 12130504554222.

22245540503121 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 554 + 0 + 50 + 31 + 21 = 666.

It is not a de Polignac number, because 22245540503121 - 27 = 22245540502993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22245540503171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28904461 + ... + 29664101.

It is an arithmetic number, because the mean of its divisors is an integer number (1109122898520).

Almost surely, 222245540503121 is an apocalyptic number.

It is an amenable number.

22245540503121 is a deficient number, since it is larger than the sum of its proper divisors (13246392249519).

22245540503121 is a wasteful number, since it uses less digits than its factorization.

22245540503121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843094 (or 843088 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 22245540503121 in words is "twenty-two trillion, two hundred forty-five billion, five hundred forty million, five hundred three thousand, one hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 351 83431 250293 750879 759641 1084603 2252637 2278923 3253809 6836769 9761427 9875333 20510307 29284281 29625999 88877997 266633991 63377608271 190132824813 570398474439 823908907523 1711195423317 2471726722569 7415180167707 22245540503121