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20413121329 is a prime number
BaseRepresentation
bin10011000000101101…
…111000001100110001
31221200121220000011201
4103000231320030301
5313301224340304
613213324011201
71321566445156
oct230055701461
957617800151
1020413121329
118725747207
123b58390b01
131c04161723
14db910422d
157e71723a4
hex4c0b78331

20413121329 has 2 divisors, whose sum is σ = 20413121330. Its totient is φ = 20413121328.

The previous prime is 20413121303. The next prime is 20413121347. The reversal of 20413121329 is 92312131402.

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., 10695696400 + 9717424929 = 103420^2 + 98577^2 .

It is a cyclic number.

It is not a de Polignac number, because 20413121329 - 233 = 11823186737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20413121297 and 20413121306.

It is not a weakly prime, because it can be changed into another prime (20413121359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10206560664 + 10206560665.

It is an arithmetic number, because the mean of its divisors is an integer number (10206560665).

Almost surely, 220413121329 is an apocalyptic number.

It is an amenable number.

20413121329 is a deficient number, since it is larger than the sum of its proper divisors (1).

20413121329 is an equidigital number, since it uses as much as digits as its factorization.

20413121329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 20413121329 in words is "twenty billion, four hundred thirteen million, one hundred twenty-one thousand, three hundred twenty-nine".