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223021312003231 = 71071991496275181
BaseRepresentation
bin110010101101011000110010…
…000101000100110010011111
31002020122121222200122210000021
4302231120302011010302133
5213212440121333100411
62110154324253213011
764655521005542650
oct6255306205046237
91066577880583007
10223021312003231
1165074897521575
122101b036191167
139759a865289c1
143d104093c7527
151abb469696a71
hexcad632144c9f

223021312003231 has 16 divisors (see below), whose sum is σ = 258556351449600. Its totient is φ = 188422940867040.

The previous prime is 223021312003199. The next prime is 223021312003261. The reversal of 223021312003231 is 132300213120322.

It is a cyclic number.

It is not a de Polignac number, because 223021312003231 - 25 = 223021312003199 is a prime.

It is a super-3 number, since 3×2230213120032313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 223021312003196 and 223021312003205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223021312003261) 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, 747988540 + ... + 748286641.

It is an arithmetic number, because the mean of its divisors is an integer number (16159771965600).

Almost surely, 2223021312003231 is an apocalyptic number.

223021312003231 is a deficient number, since it is larger than the sum of its proper divisors (35535039446369).

223021312003231 is a wasteful number, since it uses less digits than its factorization.

223021312003231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496275494.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 223021312003231 its reverse (132300213120322), we get a palindrome (355321525123553).

The spelling of 223021312003231 in words is "two hundred twenty-three trillion, twenty-one billion, three hundred twelve million, three thousand, two hundred thirty-one".

Divisors: 1 7 107 199 749 1393 21293 149051 1496275181 10473926267 160101444367 297758761019 1120710110569 2084311327133 31860187429033 223021312003231