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21300311241 = 321114911291279
BaseRepresentation
bin10011110101100110…
…001111010011001001
32000222110021220221100
4103311212033103021
5322110334424431
613441335332013
71352561441526
oct236546172311
960873256840
1021300311241
11904051a110
124165521009
132015bc1481
141060c8814d
15849ebd4e6
hex4f598f4c9

21300311241 has 48 divisors (see below), whose sum is σ = 33845760000. Its totient is φ = 12801265920.

The previous prime is 21300311237. The next prime is 21300311299. The reversal of 21300311241 is 14211300312.

It is not a de Polignac number, because 21300311241 - 22 = 21300311237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21300316241) 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 47 ways as a sum of consecutive naturals, for example, 16653240 + ... + 16654518.

It is an arithmetic number, because the mean of its divisors is an integer number (705120000).

Almost surely, 221300311241 is an apocalyptic number.

It is an amenable number.

21300311241 is a deficient number, since it is larger than the sum of its proper divisors (12545448759).

21300311241 is a wasteful number, since it uses less digits than its factorization.

21300311241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21300311241 its reverse (14211300312), we get a palindrome (35511611553).

The spelling of 21300311241 in words is "twenty-one billion, three hundred million, three hundred eleven thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 99 149 447 1129 1279 1341 1639 3387 3837 4917 10161 11511 12419 14069 14751 37257 42207 111771 126621 168221 190571 504663 571713 1443991 1513989 1715139 1850431 2096281 4331973 5551293 6288843 12995919 15883901 16653879 18866529 47651703 142955109 215154659 645463977 1936391931 2366701249 7100103747 21300311241