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20400410417 is a prime number
BaseRepresentation
bin10010111111111101…
…011000111100110001
31221122201222020002012
4102333331120330301
5313240001113132
613212151332305
71321353425132
oct227775307461
957581866065
1020400410417
118719555322
123b54081095
131c01630c8a
14db7555c89
157e5eb10b2
hex4bff58f31

20400410417 has 2 divisors, whose sum is σ = 20400410418. Its totient is φ = 20400410416.

The previous prime is 20400410369. The next prime is 20400410449. The reversal of 20400410417 is 71401400402.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16107671056 + 4292739361 = 126916^2 + 65519^2 .

It is a cyclic number.

It is not a de Polignac number, because 20400410417 - 28 = 20400410161 is a prime.

It is a super-2 number, since 2×204004104172 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20400410392 and 20400410401.

It is not a weakly prime, because it can be changed into another prime (20400416417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10200205208 + 10200205209.

It is an arithmetic number, because the mean of its divisors is an integer number (10200205209).

Almost surely, 220400410417 is an apocalyptic number.

It is an amenable number.

20400410417 is a deficient number, since it is larger than the sum of its proper divisors (1).

20400410417 is an equidigital number, since it uses as much as digits as its factorization.

20400410417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 896, while the sum is 23.

Adding to 20400410417 its reverse (71401400402), we get a palindrome (91801810819).

The spelling of 20400410417 in words is "twenty billion, four hundred million, four hundred ten thousand, four hundred seventeen".