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20005216232401 is a prime number
BaseRepresentation
bin1001000110001110100111…
…10011101010001111010001
32121211110221220201120022101
410203013103303222033101
510110231140323414101
6110314134112040401
74133220623201341
oct443072363521721
977743856646271
1020005216232401
11641318a034704
1222b118a533101
13b21639b9119a
144d2386d28d21
1524a5acca1401
hex1231d3cea3d1

20005216232401 has 2 divisors, whose sum is σ = 20005216232402. Its totient is φ = 20005216232400.

The previous prime is 20005216232399. The next prime is 20005216232423. The reversal of 20005216232401 is 10423261250002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19561292524225 + 443923708176 = 4422815^2 + 666276^2 .

It is a cyclic number.

It is not a de Polignac number, because 20005216232401 - 21 = 20005216232399 is a prime.

It is a super-3 number, since 3×200052162324013 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 20005216232399, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 20005216232401.

It is not a weakly prime, because it can be changed into another prime (20005216232431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10002608116200 + 10002608116201.

It is an arithmetic number, because the mean of its divisors is an integer number (10002608116201).

Almost surely, 220005216232401 is an apocalyptic number.

It is an amenable number.

20005216232401 is a deficient number, since it is larger than the sum of its proper divisors (1).

20005216232401 is an equidigital number, since it uses as much as digits as its factorization.

20005216232401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 20005216232401 its reverse (10423261250002), we get a palindrome (30428477482403).

The spelling of 20005216232401 in words is "twenty trillion, five billion, two hundred sixteen million, two hundred thirty-two thousand, four hundred one".