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21113233302213 = 32131548491165361
BaseRepresentation
bin1001100110011110011101…
…10001010110001011000101
32202202101221112022200022200
410303033032301112023011
510231404400211132323
6112523141355145113
74306244413662303
oct463171661261305
982671845280280
1021113233302213
116800087861928
12244ba77145199
13ba1c7a8a8040
1452dc59061273
1526930c4c0443
hex1333cec562c5

21113233302213 has 24 divisors (see below), whose sum is σ = 32843047637400. Its totient is φ = 12992663900160.

The previous prime is 21113233302211. The next prime is 21113233302223. The reversal of 21113233302213 is 31220333231112.

21113233302213 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 323 + 330 + 2 + 2 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7348257728289 + 13764975573924 = 2710767^2 + 3710118^2 .

It is not a de Polignac number, because 21113233302213 - 21 = 21113233302211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21113233302211) 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, 17534653 + ... + 18700013.

It is an arithmetic number, because the mean of its divisors is an integer number (1368460318225).

Almost surely, 221113233302213 is an apocalyptic number.

It is an amenable number.

21113233302213 is a deficient number, since it is larger than the sum of its proper divisors (11729814335187).

21113233302213 is a wasteful number, since it uses less digits than its factorization.

21113233302213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320229 (or 1320226 counting only the distinct ones).

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

Adding to 21113233302213 its reverse (31220333231112), we get a palindrome (52333566533325).

The spelling of 21113233302213 in words is "twenty-one trillion, one hundred thirteen billion, two hundred thirty-three million, three hundred two thousand, two hundred thirteen".

Divisors: 1 3 9 13 39 117 154849 464547 1165361 1393641 2013037 3496083 6039111 10488249 15149693 18117333 45449079 136347237 180454985489 541364956467 1624094869401 2345914811357 7037744434071 21113233302213