Search a number
-
+
21303023422311 = 3319307864715643
BaseRepresentation
bin1001101011111111111110…
…01001001100101101100111
32210102112211022220201121000
410311333333021030231213
510243012042444003221
6113150250204124343
74326043531250511
oct465777711145547
983375738821530
1021303023422311
11687361a398154
1224808035366b3
13bb6b358a3757
14539101188bb1
1526e219429e26
hex135fff24cb67

21303023422311 has 64 divisors (see below), whose sum is σ = 33335286476800. Its totient is φ = 13408307133408.

The previous prime is 21303023422147. The next prime is 21303023422319. The reversal of 21303023422311 is 11322432030312.

21303023422311 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 3 + 0 + 2 + 342 + 2 + 311 = 666.

It is not a de Polignac number, because 21303023422311 - 217 = 21303023291239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21303023422319) 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 63 ways as a sum of consecutive naturals, for example, 1361816856 + ... + 1361832498.

It is an arithmetic number, because the mean of its divisors is an integer number (520863851200).

Almost surely, 221303023422311 is an apocalyptic number.

21303023422311 is a deficient number, since it is larger than the sum of its proper divisors (12032263054489).

21303023422311 is a wasteful number, since it uses less digits than its factorization.

21303023422311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24625 (or 24619 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 21303023422311 its reverse (11322432030312), we get a palindrome (32625455452623).

The spelling of 21303023422311 in words is "twenty-one trillion, three hundred three billion, twenty-three million, four hundred twenty-two thousand, three hundred eleven".

Divisors: 1 3 9 19 27 57 171 307 513 921 2763 5833 8289 8647 15643 17499 25941 46929 52497 77823 140787 157491 164293 233469 297217 422361 492879 891651 1478637 2654629 2674953 4435911 4802401 7963887 8024859 14407203 23891661 43221609 50437951 71674983 91245619 129664827 135265021 151313853 273736857 405795063 453941559 821210571 1217385189 1361824677 2463631713 2570035399 3652155567 7710106197 23130318591 41526361447 69390955773 124579084341 373737253023 789000867493 1121211759069 2367002602479 7101007807437 21303023422311