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21202205807917 is a prime number
BaseRepresentation
bin1001101001000100001011…
…11100100001010100101101
32210001220121011210021020201
410310202011330201110231
510234334104141323132
6113032054152513501
74315544265543541
oct464420574412455
983056534707221
1021202205807917
116834894490282
1224651679ab891
13baa489884814
145342996d5a21
1526b7b85392e7
hex134885f2152d

21202205807917 has 2 divisors, whose sum is σ = 21202205807918. Its totient is φ = 21202205807916.

The previous prime is 21202205807899. The next prime is 21202205807953. The reversal of 21202205807917 is 71970850220212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12876822688041 + 8325383119876 = 3588429^2 + 2885374^2 .

It is a cyclic number.

It is not a de Polignac number, because 21202205807917 - 223 = 21202197419309 is a prime.

It is a super-3 number, since 3×212022058079173 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21202205807957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10601102903958 + 10601102903959.

It is an arithmetic number, because the mean of its divisors is an integer number (10601102903959).

Almost surely, 221202205807917 is an apocalyptic number.

It is an amenable number.

21202205807917 is a deficient number, since it is larger than the sum of its proper divisors (1).

21202205807917 is an equidigital number, since it uses as much as digits as its factorization.

21202205807917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 282240, while the sum is 46.

The spelling of 21202205807917 in words is "twenty-one trillion, two hundred two billion, two hundred five million, eight hundred seven thousand, nine hundred seventeen".