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221304141341020 = 22523481095959437
BaseRepresentation
bin110010010100011001100010…
…101110110110000101011100
31002000120110200010002221100001
4302110121202232312011130
5213001321340140403040
62102401415150344044
764420460633001463
oct6224314256660534
91060513603087301
10221304141341020
1164572617444361
12209a22851bb024
139663b7764829a
143c9126b4539da
151a8b9666de59a
hexc94662bb615c

221304141341020 has 24 divisors (see below), whose sum is σ = 484944727113504. Its totient is φ = 84672888860736.

The previous prime is 221304141340981. The next prime is 221304141341021. The reversal of 221304141341020 is 20143141403122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 221304141341020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221304141341021) 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 7 ways as a sum of consecutive naturals, for example, 240547979259 + ... + 240547980178.

It is an arithmetic number, because the mean of its divisors is an integer number (20206030296396).

Almost surely, 2221304141341020 is an apocalyptic number.

221304141341020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221304141341020 is an abundant number, since it is smaller than the sum of its proper divisors (263640585772484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221304141341020 is a wasteful number, since it uses less digits than its factorization.

221304141341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481095959469 (or 481095959467 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 221304141341020 its reverse (20143141403122), we get a palindrome (241447282744142).

The spelling of 221304141341020 in words is "two hundred twenty-one trillion, three hundred four billion, one hundred forty-one million, three hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 481095959437 962191918874 1924383837748 2405479797185 4810959594370 9621919188740 11065207067051 22130414134102 44260828268204 55326035335255 110652070670510 221304141341020