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232303013011 = 1923123898689
BaseRepresentation
bin1101100001011001010…
…1101010110010010011
3211012121121002202210201
43120112111222302103
512301224032404021
6254415111440031
722532454013336
oct3302625526223
9735547082721
10232303013011
118a578aa3a73
1239031986017
1318ba1872964
14b35a34061d
156099367591
hex361656ac93

232303013011 has 24 divisors (see below), whose sum is σ = 253216867200. Its totient is φ = 212863645440.

The previous prime is 232303012999. The next prime is 232303013021. The reversal of 232303013011 is 110310303232.

232303013011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232303013011 - 211 = 232303010963 is a prime.

It is a super-2 number, since 2×2323030130112 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 232303013011.

It is not an unprimeable number, because it can be changed into a prime (232303013021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26730955 + ... + 26739643.

It is an arithmetic number, because the mean of its divisors is an integer number (10550702800).

Almost surely, 2232303013011 is an apocalyptic number.

232303013011 is a deficient number, since it is larger than the sum of its proper divisors (20913854189).

232303013011 is a wasteful number, since it uses less digits than its factorization.

232303013011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11147 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 232303013011 its reverse (110310303232), we get a palindrome (342613316243).

It can be divided in two parts, 2323030 and 13011, that added together give a triangular number (2336041 = T2161).

The spelling of 232303013011 in words is "two hundred thirty-two billion, three hundred three million, thirteen thousand, eleven".

Divisors: 1 19 31 361 589 2389 8689 11191 45391 74059 165091 269359 862429 1407121 3136729 5117821 20758021 26735299 97238599 394402399 643498651 7493645581 12226474369 232303013011