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21873638317 is a prime number
BaseRepresentation
bin10100010111110001…
…010011101110101101
32002110102002221211111
4110113301103232231
5324244122411232
614014255552021
71403022600166
oct242761235655
962412087744
1021873638317
11930510a243
1242a552b611
1320a790b56b
1410b708a76d
158804bd047
hex517c53bad

21873638317 has 2 divisors, whose sum is σ = 21873638318. Its totient is φ = 21873638316.

The previous prime is 21873638291. The next prime is 21873638333. The reversal of 21873638317 is 71383637812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20952273001 + 921365316 = 144749^2 + 30354^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21873638317 is a prime.

It is a super-3 number, since 3×218736383173 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21873638357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10936819158 + 10936819159.

It is an arithmetic number, because the mean of its divisors is an integer number (10936819159).

Almost surely, 221873638317 is an apocalyptic number.

It is an amenable number.

21873638317 is a deficient number, since it is larger than the sum of its proper divisors (1).

21873638317 is an equidigital number, since it uses as much as digits as its factorization.

21873638317 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1016064, while the sum is 49.

The spelling of 21873638317 in words is "twenty-one billion, eight hundred seventy-three million, six hundred thirty-eight thousand, three hundred seventeen".