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223233131133 = 3229855299353
BaseRepresentation
bin1100111111100110111…
…0110100001001111101
3210100012111112000212200
43033321232310021331
512124140140144013
6250315112422113
722061632210125
oct3177156641175
9710174460780
10223233131133
1186744312521
12373203a7939
131808779584c
14ab39937c85
155c17e84e73
hex33f9bb427d

223233131133 has 12 divisors (see below), whose sum is σ = 333566748060. Its totient is φ = 143690291136.

The previous prime is 223233131131. The next prime is 223233131179. The reversal of 223233131133 is 331131332322.

223233131133 is a `hidden beast` number, since 2 + 232 + 3 + 313 + 113 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132464697849 + 90768433284 = 363957^2 + 301278^2 .

It is not a de Polignac number, because 223233131133 - 21 = 223233131131 is a prime.

It is a super-3 number, since 3×2232331311333 (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 223233131097 and 223233131106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223233131131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427649416 + ... + 427649937.

It is an arithmetic number, because the mean of its divisors is an integer number (27797229005).

Almost surely, 2223233131133 is an apocalyptic number.

It is an amenable number.

223233131133 is a deficient number, since it is larger than the sum of its proper divisors (110333616927).

223233131133 is a wasteful number, since it uses less digits than its factorization.

223233131133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855299388 (or 855299385 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 223233131133 its reverse (331131332322), we get a palindrome (554364463455).

The spelling of 223233131133 in words is "two hundred twenty-three billion, two hundred thirty-three million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 29 87 261 855299353 2565898059 7697694177 24803681237 74411043711 223233131133