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223112321012231 = 7210572743066697
BaseRepresentation
bin110010101110101101100010…
…101000111001001000000111
31002020222022220021011110021022
4302232231202220321020013
5213220433013134342411
62110304215120141355
764665222206421500
oct6256554250711007
91066868807143238
10223112321012231
11650aa449759aa2
12210347b4a6785b
13976552b3c0911
143d149a02d9ba7
151abd9e43d3edb
hexcaeb62a39207

223112321012231 has 12 divisors (see below), whose sum is σ = 259541283230208. Its totient is φ = 191237319054432.

The previous prime is 223112321012201. The next prime is 223112321012263. The reversal of 223112321012231 is 132210123211322.

It is not a de Polignac number, because 223112321012231 - 238 = 222837443105287 is a prime.

It is a super-3 number, since 3×2231123210122313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223112321012231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223112321012201) 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 11 ways as a sum of consecutive naturals, for example, 16352726 + ... + 26713971.

It is an arithmetic number, because the mean of its divisors is an integer number (21628440269184).

Almost surely, 2223112321012231 is an apocalyptic number.

223112321012231 is a deficient number, since it is larger than the sum of its proper divisors (36428962217977).

223112321012231 is a wasteful number, since it uses less digits than its factorization.

223112321012231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43172438 (or 43172431 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 223112321012231 its reverse (132210123211322), we get a palindrome (355322444223553).

The spelling of 223112321012231 in words is "two hundred twenty-three trillion, one hundred twelve billion, three hundred twenty-one million, twelve thousand, two hundred thirty-one".

Divisors: 1 7 49 105727 740089 5180623 43066697 301466879 2110268153 4553312673719 31873188716033 223112321012231