Search a number
-
+
223140240011133 = 32131818318808739
BaseRepresentation
bin110010101111000111100010…
…101111011010111101111101
31002021001222221222200112210200
4302233013202233122331331
5213221412202420324013
62110325113333154113
765000231110122654
oct6257074257327575
91067058858615720
10223140240011133
1165110276261105
122103a0a6a8b939
13976805a5ba703
143d1608c20219b
151abe5ca499e73
hexcaf1e2bdaf7d

223140240011133 has 12 divisors (see below), whose sum is σ = 322313941666080. Its totient is φ = 148760039245896.

The previous prime is 223140240011099. The next prime is 223140240011147. The reversal of 223140240011133 is 331110042041322.

223140240011133 is a `hidden beast` number, since 2 + 2 + 3 + 140 + 2 + 400 + 1 + 113 + 3 = 666.

It is not a de Polignac number, because 223140240011133 - 212 = 223140240007037 is a prime.

It is a super-3 number, since 3×2231402400111333 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223140240011097 and 223140240011106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223140240011173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2459278 + ... + 21268016.

It is an arithmetic number, because the mean of its divisors is an integer number (26859495138840).

Almost surely, 2223140240011133 is an apocalyptic number.

It is an amenable number.

223140240011133 is a deficient number, since it is larger than the sum of its proper divisors (99173701654947).

223140240011133 is a wasteful number, since it uses less digits than its factorization.

223140240011133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20126928 (or 20126925 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 223140240011133 its reverse (331110042041322), we get a palindrome (554250282052455).

The spelling of 223140240011133 in words is "two hundred twenty-three trillion, one hundred forty billion, two hundred forty million, eleven thousand, one hundred thirty-three".

Divisors: 1 3 9 1318183 3954549 11863647 18808739 56426217 169278651 24793360001237 74380080003711 223140240011133