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21320033031 = 3311317331721
BaseRepresentation
bin10011110110110001…
…011110001100000111
32001000211101220011000
4103312301132030013
5322130412024111
613443322144343
71353221201463
oct236661361407
961024356130
1021320033031
11905066a410
1241700520b3
13201a00807b
14106373d4a3
1584bab6c56
hex4f6c5e307

21320033031 has 64 divisors (see below), whose sum is σ = 36056494080. Its totient is φ = 12332736000.

The previous prime is 21320033029. The next prime is 21320033051. The reversal of 21320033031 is 13033002312.

It is not a de Polignac number, because 21320033031 - 21 = 21320033029 is a prime.

It is a super-2 number, since 2×213200330312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21320032995 and 21320033013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21320033051) 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 63 ways as a sum of consecutive naturals, for example, 656251 + ... + 687971.

It is an arithmetic number, because the mean of its divisors is an integer number (563382720).

Almost surely, 221320033031 is an apocalyptic number.

21320033031 is a deficient number, since it is larger than the sum of its proper divisors (14736461049).

21320033031 is a wasteful number, since it uses less digits than its factorization.

21320033031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31845 (or 31839 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 21320033031 its reverse (13033002312), we get a palindrome (34353035343).

The spelling of 21320033031 in words is "twenty-one billion, three hundred twenty million, thirty-three thousand, thirty-one".

Divisors: 1 3 9 11 27 31 33 73 93 99 219 279 297 341 657 803 837 1023 1971 2263 2409 3069 6789 7227 9207 20367 21681 24893 31721 61101 74679 95163 224037 285489 348931 672111 856467 983351 1046793 2315633 2950053 3140379 6946899 8850159 9421137 10816861 20840697 25471963 26550477 32450583 62522091 71784623 76415889 97351749 215353869 229247667 292055247 646061607 687743001 789630853 1938184821 2368892559 7106677677 21320033031