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232331320233 = 321759139185161
BaseRepresentation
bin1101100001100000000…
…1101001101110101001
3211012200120100221000100
43120120001221232221
512301303304221413
6254422002300013
722533246431565
oct3303001515651
9735616327010
10232331320233
118a592a78671
123903b357609
1318ba76a42ac
14b35ddcc6a5
15609baa9a73
hex3618069ba9

232331320233 has 48 divisors (see below), whose sum is σ = 363954427200. Its totient is φ = 142273981440.

The previous prime is 232331320219. The next prime is 232331320253. The reversal of 232331320233 is 332023133232.

232331320233 is a `hidden beast` number, since 2 + 3 + 2 + 331 + 320 + 2 + 3 + 3 = 666.

It is not a de Polignac number, because 232331320233 - 24 = 232331320217 is a prime.

It is a super-2 number, since 2×2323313202332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232331320197 and 232331320206.

It is not an unprimeable number, because it can be changed into a prime (232331320253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1162173 + ... + 1347333.

It is an arithmetic number, because the mean of its divisors is an integer number (7582383900).

Almost surely, 2232331320233 is an apocalyptic number.

It is an amenable number.

232331320233 is a deficient number, since it is larger than the sum of its proper divisors (131623106967).

232331320233 is a wasteful number, since it uses less digits than its factorization.

232331320233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185382 (or 185379 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 232331320233 its reverse (332023133232), we get a palindrome (564354453465).

The spelling of 232331320233 in words is "two hundred thirty-two billion, three hundred thirty-one million, three hundred twenty thousand, two hundred thirty-three".

Divisors: 1 3 9 17 51 59 139 153 177 417 531 1003 1251 2363 3009 7089 8201 9027 21267 24603 73809 139417 185161 418251 555483 1254753 1666449 3147737 9443211 10924499 25737379 28329633 32773497 77212137 98320491 185716483 231636411 437535443 557149449 1312606329 1518505361 1671448347 3937818987 4555516083 13666548249 25814591137 77443773411 232331320233