Search a number
-
+
2231331022233 = 322310779376919
BaseRepresentation
bin100000011110000101101…
…100010110010110011001
321220022110021222101002100
4200132011230112112121
5243024231220202413
64425020451354013
7320131314515145
oct40360554262631
97808407871070
102231331022233
11790336211795
123005442b2909
1313254b925951
1479dd5a94225
153d096d47a73
hex20785b16599

2231331022233 has 12 divisors (see below), whose sum is σ = 3363165599040. Its totient is φ = 1422877753176.

The previous prime is 2231331022183. The next prime is 2231331022267. The reversal of 2231331022233 is 3322201331322.

2231331022233 is a `hidden beast` number, since 2 + 2 + 313 + 310 + 2 + 2 + 2 + 33 = 666.

It is not a de Polignac number, because 2231331022233 - 213 = 2231331014041 is a prime.

It is a super-3 number, since 3×22313310222333 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2231331022197 and 2231331022206.

It is not an unprimeable number, because it can be changed into a prime (2231331022433) 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 11 ways as a sum of consecutive naturals, for example, 5389688253 + ... + 5389688666.

It is an arithmetic number, because the mean of its divisors is an integer number (280263799920).

Almost surely, 22231331022233 is an apocalyptic number.

2231331022233 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2231331022233 is a deficient number, since it is larger than the sum of its proper divisors (1131834576807).

2231331022233 is a wasteful number, since it uses less digits than its factorization.

2231331022233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10779376948 (or 10779376945 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2231331022233 its reverse (3322201331322), we get a palindrome (5553532353555).

The spelling of 2231331022233 in words is "two trillion, two hundred thirty-one billion, three hundred thirty-one million, twenty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 23 69 207 10779376919 32338130757 97014392271 247925669137 743777007411 2231331022233