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10414003057 is a prime number
BaseRepresentation
bin10011011001011100…
…10001001101110001
3222212202210011112221
421230232101031301
5132311441044212
64441212121041
7516032364643
oct115456211561
928782704487
1010414003057
1144644846a7
122027766181
13c9c6c26b3
1470b130893
1540e3da807
hex26cb91371

10414003057 has 2 divisors, whose sum is σ = 10414003058. Its totient is φ = 10414003056.

The previous prime is 10414003049. The next prime is 10414003063. The reversal of 10414003057 is 75030041401.

10414003057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10217975056 + 196028001 = 101084^2 + 14001^2 .

It is a cyclic number.

It is not a de Polignac number, because 10414003057 - 23 = 10414003049 is a prime.

It is not a weakly prime, because it can be changed into another prime (10414003357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5207001528 + 5207001529.

It is an arithmetic number, because the mean of its divisors is an integer number (5207001529).

Almost surely, 210414003057 is an apocalyptic number.

It is an amenable number.

10414003057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10414003057 is an equidigital number, since it uses as much as digits as its factorization.

10414003057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 25.

Adding to 10414003057 its reverse (75030041401), we get a palindrome (85444044458).

The spelling of 10414003057 in words is "ten billion, four hundred fourteen million, three thousand, fifty-seven".