Search a number
-
+
231303002211 = 32122323718863
BaseRepresentation
bin1101011101101010111…
…0111011100001100011
3211010000220101221212200
43113122232323201203
512242202032032321
6254131550024243
722465622036061
oct3273256734143
9733026357780
10231303002211
118a105573066
12389b2aa8083
1318a726308a8
14b2a35cd031
15603b682d26
hex35dabbb863

231303002211 has 24 divisors (see below), whose sum is σ = 334556292096. Its totient is φ = 153993556080.

The previous prime is 231303002107. The next prime is 231303002243. The reversal of 231303002211 is 112200303132.

231303002211 is a `hidden beast` number, since 23 + 130 + 300 + 2 + 211 = 666.

It is a de Polignac number, because none of the positive numbers 2k-231303002211 is a prime.

It is a super-3 number, since 3×2313030022113 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (231303002311) 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 23 ways as a sum of consecutive naturals, for example, 26093166 + ... + 26102028.

It is an arithmetic number, because the mean of its divisors is an integer number (13939845504).

Almost surely, 2231303002211 is an apocalyptic number.

231303002211 is a deficient number, since it is larger than the sum of its proper divisors (103253289885).

231303002211 is a wasteful number, since it uses less digits than its factorization.

231303002211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12463 (or 12460 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 231303002211 its reverse (112200303132), we get a palindrome (343503305343).

The spelling of 231303002211 in words is "two hundred thirty-one billion, three hundred three million, two thousand, two hundred eleven".

Divisors: 1 3 9 1223 2371 3669 7113 8863 11007 21339 26589 79767 2899733 8699199 10839449 21014173 26097597 32518347 63042519 97555041 189127557 25700333579 77101000737 231303002211