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21405410347321 = 72111323313110991
BaseRepresentation
bin1001101110111110101011…
…11000010100100100111001
32210210100002211222102101201
410313133111320110210321
510301201240022103241
6113305302035214201
74336330010615200
oct467372570244471
983710084872351
1021405410347321
116902a90115350
122498618747361
13bc36a1a71750
14540055224237
15271c0cea6931
hex1377d5e14939

21405410347321 has 48 divisors (see below), whose sum is σ = 29378901097728. Its totient is φ = 15330418387200.

The previous prime is 21405410347273. The next prime is 21405410347327. The reversal of 21405410347321 is 12374301450412.

It is not a de Polignac number, because 21405410347321 - 217 = 21405410216249 is a prime.

It is a super-3 number, since 3×214054103473213 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21405410347327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4922865 + ... + 8188126.

It is an arithmetic number, because the mean of its divisors is an integer number (612060439536).

Almost surely, 221405410347321 is an apocalyptic number.

It is an amenable number.

21405410347321 is a deficient number, since it is larger than the sum of its proper divisors (7973490750407).

21405410347321 is a wasteful number, since it uses less digits than its factorization.

21405410347321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13111262 (or 13111255 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

Adding to 21405410347321 its reverse (12374301450412), we get a palindrome (33779711797733).

The spelling of 21405410347321 in words is "twenty-one trillion, four hundred five billion, four hundred ten million, three hundred forty-seven thousand, three hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 143 233 539 637 1001 1631 2563 3029 7007 11417 17941 21203 33319 125587 148421 233233 1632631 13110991 91776937 144220901 170442883 642438559 1009546307 1193100181 1874871713 3054860903 7066824149 8351701267 13124101991 21384026321 33603469933 39713191739 91868713937 149688184247 235224289531 277992342173 436845109129 1646570026717 1945946395211 3057915763903 21405410347321