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21320647821 = 3311219973541
BaseRepresentation
bin10011110110110011…
…110100010010001101
32001000212120010111000
4103312303310102031
5322131041212241
613443343250513
71353226342044
oct236663642215
961025503430
1021320647821
119050a4a300
1241702a9a39
13201a191b55
14106385d55b
1584bb88eb6
hex4f6cf448d

21320647821 has 96 divisors (see below), whose sum is σ = 36933142400. Its totient is φ = 12111897600.

The previous prime is 21320647771. The next prime is 21320647861. The reversal of 21320647821 is 12874602312.

It is a happy number.

21320647821 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 0 + 647 + 8 + 2 + 1 = 666.

It is not a de Polignac number, because 21320647821 - 222 = 21316453517 is a prime.

It is a super-2 number, since 2×213206478212 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21320647861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6019311 + ... + 6022851.

Almost surely, 221320647821 is an apocalyptic number.

It is an amenable number.

21320647821 is a deficient number, since it is larger than the sum of its proper divisors (15612494579).

21320647821 is a wasteful number, since it uses less digits than its factorization.

21320647821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 21320647821 in words is "twenty-one billion, three hundred twenty million, six hundred forty-seven thousand, eight hundred twenty-one".

Divisors: 1 3 9 11 19 27 33 57 97 99 121 171 209 291 297 363 513 627 873 1067 1089 1843 1881 2299 2619 3201 3267 3541 5529 5643 6897 9603 10623 11737 16587 20273 20691 28809 31869 35211 38951 49761 60819 62073 67279 95607 105633 116853 182457 201837 223003 316899 343477 350559 428461 547371 605511 669009 740069 1030431 1051677 1285383 1816533 2007027 2220207 3091293 3778247 3856149 6021081 6526063 6660621 8140759 9273879 11334741 11568447 19578189 19981863 24422277 34004223 41560717 58734567 71786693 73266831 102012669 124682151 176203701 215360079 219800493 374046453 646080237 789653623 1122139359 1938240711 2368960869 7106882607 21320647821