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21201330223233 = 322355703358137
BaseRepresentation
bin1001101001000010100011…
…10000011011100010000001
32210001211100011012221212100
410310201101300123202001
510234330311014120413
6113031431234021013
74315513504313526
oct464412160334201
983054304187770
1021201330223233
116834485214576
122464b62717769
13baa37a359184
145342152d314d
1526b766731a73
hex134851c1b881

21201330223233 has 6 divisors (see below), whose sum is σ = 30624143655794. Its totient is φ = 14134220148816.

The previous prime is 21201330223219. The next prime is 21201330223247. The reversal of 21201330223233 is 33232203310212.

21201330223233 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 1 + 330 + 2 + 2 + 323 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (21201330223219) and next prime (21201330223247).

It can be written as a sum of positive squares in only one way, i.e., 13992814045809 + 7208516177424 = 3740697^2 + 2684868^2 .

It is not a de Polignac number, because 21201330223233 - 212 = 21201330219137 is a prime.

It is a super-3 number, since 3×212013302232333 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21201330223197 and 21201330223206.

It is not an unprimeable number, because it can be changed into a prime (21201330233233) 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 5 ways as a sum of consecutive naturals, for example, 1177851679060 + ... + 1177851679077.

Almost surely, 221201330223233 is an apocalyptic number.

It is an amenable number.

21201330223233 is a deficient number, since it is larger than the sum of its proper divisors (9422813432561).

21201330223233 is a wasteful number, since it uses less digits than its factorization.

21201330223233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355703358143 (or 2355703358140 counting only the distinct ones).

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

Adding to 21201330223233 its reverse (33232203310212), we get a palindrome (54433533533445).

The spelling of 21201330223233 in words is "twenty-one trillion, two hundred one billion, three hundred thirty million, two hundred twenty-three thousand, two hundred thirty-three".

Divisors: 1 3 9 2355703358137 7067110074411 21201330223233