Search a number
-
+
22021131132333 = 3231352453149033
BaseRepresentation
bin1010000000111001100011…
…01100101101110110101101
32212222012101111021002201200
411000130301230231312231
510341243234032213313
6114500211252400113
74431655105132524
oct500346154556655
985865344232650
1022021131132333
117020122486353
122577a14316039
13c39778683bb8
14561b853174bb
15282c48064b73
hex140731b2ddad

22021131132333 has 24 divisors (see below), whose sum is σ = 31910746957752. Its totient is φ = 14633473540608.

The previous prime is 22021131132283. The next prime is 22021131132347. The reversal of 22021131132333 is 33323113112022.

22021131132333 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 11 + 311 + 3 + 2 + 333 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 506998113444 + 21514133018889 = 712038^2 + 4638333^2 .

It is not a de Polignac number, because 22021131132333 - 212 = 22021131128237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22021131132297 and 22021131132306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021131132733) 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, 147685585 + ... + 147834617.

It is an arithmetic number, because the mean of its divisors is an integer number (1329614456573).

Almost surely, 222021131132333 is an apocalyptic number.

It is an amenable number.

22021131132333 is a deficient number, since it is larger than the sum of its proper divisors (9889615825419).

22021131132333 is a wasteful number, since it uses less digits than its factorization.

22021131132333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201805 (or 201802 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 22021131132333 its reverse (33323113112022), we get a palindrome (55344244244355).

The spelling of 22021131132333 in words is "twenty-two trillion, twenty-one billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 313 939 2817 52453 149033 157359 447099 472077 1341297 16417789 46647329 49253367 139941987 147760101 419825961 7817227949 23451683847 70355051541 2446792348037 7340377044111 22021131132333