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10305431441 is a prime number
BaseRepresentation
bin10011001100100000…
…00110011110010001
3222121012111011021222
421212100012132101
5132101142301231
64422333054425
7513243502424
oct114620063621
928535434258
1010305431441
114409169198
121bb7327415
13c8306a536
146da94b9bb
15404ae127b
hex266406791

10305431441 has 2 divisors, whose sum is σ = 10305431442. Its totient is φ = 10305431440.

The previous prime is 10305431419. The next prime is 10305431443. The reversal of 10305431441 is 14413450301.

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., 9471377041 + 834054400 = 97321^2 + 28880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10305431441 is a prime.

Together with 10305431443, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10305431441.

It is not a weakly prime, because it can be changed into another prime (10305431443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5152715720 + 5152715721.

It is an arithmetic number, because the mean of its divisors is an integer number (5152715721).

Almost surely, 210305431441 is an apocalyptic number.

It is an amenable number.

10305431441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10305431441 is an equidigital number, since it uses as much as digits as its factorization.

10305431441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 10305431441 its reverse (14413450301), we get a palindrome (24718881742).

The spelling of 10305431441 in words is "ten billion, three hundred five million, four hundred thirty-one thousand, four hundred forty-one".