Search a number
-
+
223113231003321 = 338263453000123
BaseRepresentation
bin110010101110101110011000…
…111000001110111010111001
31002020222102020200110210101000
4302232232120320032322321
5213220441344114101241
62110304445304315213
764665253566261651
oct6256563070167271
91066872220423330
10223113231003321
11650aa87639584a
1221034a09772b09
139765644aa4a99
143d14a490d7361
151abda49235eb6
hexcaeb98e0eeb9

223113231003321 has 8 divisors (see below), whose sum is σ = 330538120004960. Its totient is φ = 148742154002196.

The previous prime is 223113231003233. The next prime is 223113231003337. The reversal of 223113231003321 is 123300132311322.

223113231003321 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 1 + 323 + 1 + 0 + 0 + 332 + 1 = 666.

It is not a de Polignac number, because 223113231003321 - 210 = 223113231002297 is a prime.

It is a super-3 number, since 3×2231132310033213 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 8263453000123 = 223113231003321 / (2 + 2 + 3 + 1 + 1 + 3 + 2 + 3 + 1 + 0 + 0 + 3 + 3 + 2 + 1).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (223113231003371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4131726500035 + ... + 4131726500088.

It is an arithmetic number, because the mean of its divisors is an integer number (41317265000620).

Almost surely, 2223113231003321 is an apocalyptic number.

It is an amenable number.

223113231003321 is a deficient number, since it is larger than the sum of its proper divisors (107424889001639).

223113231003321 is an equidigital number, since it uses as much as digits as its factorization.

223113231003321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8263453000132 (or 8263453000126 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 223113231003321 its reverse (123300132311322), we get a palindrome (346413363314643).

The spelling of 223113231003321 in words is "two hundred twenty-three trillion, one hundred thirteen billion, two hundred thirty-one million, three thousand, three hundred twenty-one".

Divisors: 1 3 9 27 8263453000123 24790359000369 74371077001107 223113231003321