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221131813973 = 7592230324007
BaseRepresentation
bin1100110111110001111…
…0111011010001010101
3210010210001112001122012
43031330132323101111
512110334221021343
6245330410114005
721655565256050
oct3157436732125
9703701461565
10221131813973
1185866164874
1236a3471b905
1317b11336305
14a9ba827a97
155b4375c718
hex337c7bb455

221131813973 has 16 divisors (see below), whose sum is σ = 257027727360. Its totient is φ = 186312870576.

The previous prime is 221131813967. The next prime is 221131813999. The reversal of 221131813973 is 379318131122.

It is not a de Polignac number, because 221131813973 - 26 = 221131813909 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221131813973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221131813073) 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 15 ways as a sum of consecutive naturals, for example, 9199136 + ... + 9223142.

It is an arithmetic number, because the mean of its divisors is an integer number (16064232960).

Almost surely, 2221131813973 is an apocalyptic number.

It is an amenable number.

221131813973 is a deficient number, since it is larger than the sum of its proper divisors (35895913387).

221131813973 is a wasteful number, since it uses less digits than its factorization.

221131813973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46376.

The product of its digits is 54432, while the sum is 41.

The spelling of 221131813973 in words is "two hundred twenty-one billion, one hundred thirty-one million, eight hundred thirteen thousand, nine hundred seventy-three".

Divisors: 1 7 59 413 22303 24007 156121 168049 1315877 1416413 9211139 9914891 535428121 3747996847 31590259139 221131813973