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12032232022233 = 32174116333117437
BaseRepresentation
bin1010111100010111100011…
…1010100110000011011001
31120121021021221022111001200
42233011320322212003121
53034114002344202413
641331310414104413
72351204632460553
oct257057072460331
946537257274050
1012032232022233
11391992832a205
121423b161ab109
136938333188a7
142d851263c4d3
1515cebc98e573
hexaf178ea60d9

12032232022233 has 48 divisors (see below), whose sum is σ = 18852386965776. Its totient is φ = 7364984647680.

The previous prime is 12032232022231. The next prime is 12032232022247. The reversal of 12032232022233 is 33222023223021.

12032232022233 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 223 + 202 + 2 + 233 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 108111412809 + 11924120609424 = 328803^2 + 3453132^2 .

It is not a de Polignac number, because 12032232022233 - 21 = 12032232022231 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12032232022197 and 12032232022206.

It is not an unprimeable number, because it can be changed into a prime (12032232022231) 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 47 ways as a sum of consecutive naturals, for example, 102398191 + ... + 102515627.

It is an arithmetic number, because the mean of its divisors is an integer number (392758061787).

Almost surely, 212032232022233 is an apocalyptic number.

It is an amenable number.

12032232022233 is a deficient number, since it is larger than the sum of its proper divisors (6820154943543).

12032232022233 is a wasteful number, since it uses less digits than its factorization.

12032232022233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133834 (or 133831 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 12032232022233 its reverse (33222023223021), we get a palindrome (45254255245254).

The spelling of 12032232022233 in words is "twelve trillion, thirty-two billion, two hundred thirty-two million, twenty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 17 41 51 123 153 369 697 2091 6273 16333 48999 117437 146997 277661 352311 669653 832983 1056933 1996429 2008959 2498949 4814917 5989287 6026877 11384101 14444751 17967861 34152303 43334253 81853589 102456909 245560767 736682301 1918098521 5754295563 17262886689 32607674857 78642039361 97823024571 235926118083 293469073713 707778354249 1336914669137 4010744007411 12032232022233