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21126963 = 31141337
BaseRepresentation
bin101000010010…
…1111100110011
31110202100202010
41100211330303
520402030323
62032454003
7344401434
oct120457463
943670663
1021126963
1110a20000
1270aa303
1344b9380
142b3d48b
151cc4c93
hex1425f33

21126963 has 40 divisors (see below), whose sum is σ = 34271440. Its totient is φ = 11499840.

The previous prime is 21126961. The next prime is 21126967. The reversal of 21126963 is 36962112.

It is not a de Polignac number, because 21126963 - 21 = 21126961 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21126963.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21126961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 570981 + ... + 571017.

It is an arithmetic number, because the mean of its divisors is an integer number (856786).

Almost surely, 221126963 is an apocalyptic number.

21126963 is a deficient number, since it is larger than the sum of its proper divisors (13144477).

21126963 is an equidigital number, since it uses as much as digits as its factorization.

21126963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 21126963 is about 4596.4076189999. The cubic root of 21126963 is about 276.4473029315.

The spelling of 21126963 in words is "twenty-one million, one hundred twenty-six thousand, nine hundred sixty-three".

Divisors: 1 3 11 13 33 37 39 111 121 143 363 407 429 481 1221 1331 1443 1573 3993 4477 4719 5291 13431 14641 15873 17303 43923 49247 51909 58201 147741 174603 190333 541717 570999 640211 1625151 1920633 7042321 21126963