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21420334442331 = 32112310193141203
BaseRepresentation
bin1001101111011010011110…
…11011001110011101011011
32210211202121221022000000100
410313231033123032131123
510301422321104123311
6113320211002310443
74340365566415236
oct467551733163533
983752557260010
1021420334442331
116909349402870
12249b4a27b8423
13bc4c0c9622b6
14540a6d32a41d
152722d32c5a56
hex137b4f6ce75b

21420334442331 has 48 divisors (see below), whose sum is σ = 35569508113152. Its totient is φ = 12294638664000.

The previous prime is 21420334442323. The next prime is 21420334442363. The reversal of 21420334442331 is 13324443302412.

21420334442331 is a `hidden beast` number, since 2 + 1 + 4 + 203 + 3 + 4 + 442 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 21420334442331 - 23 = 21420334442323 is a prime.

It is a super-2 number, since 2×214203344423312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21420334447331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46340625 + ... + 46800578.

It is an arithmetic number, because the mean of its divisors is an integer number (741031419024).

Almost surely, 221420334442331 is an apocalyptic number.

21420334442331 is a deficient number, since it is larger than the sum of its proper divisors (14149173670821).

21420334442331 is a wasteful number, since it uses less digits than its factorization.

21420334442331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93141344 (or 93141341 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 21420334442331 its reverse (13324443302412), we get a palindrome (34744777744743).

The spelling of 21420334442331 in words is "twenty-one trillion, four hundred twenty billion, three hundred thirty-four million, four hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 11 23 33 69 99 101 207 253 303 759 909 1111 2277 2323 3333 6969 9999 20907 25553 76659 229977 93141203 279423609 838270827 1024553233 2142247669 3073659699 6426743007 9220979097 9407261503 19280229021 23564724359 28221784509 70694173077 84665353527 103479876533 212082519231 216367014569 310439629599 649101043707 931318888797 1947303131121 2380037160259 7140111480777 21420334442331