Search a number
-
+
10414263113 is a prime number
BaseRepresentation
bin10011011001011110…
…10000101101001001
3222212210021101021122
421230233100231021
5132312022404423
64441221445025
7516034530062
oct115457205511
928783241248
1010414263113
114464642021
122027870775
13c9c783b87
1470b19b569
1540e43c8c8
hex26cbd0b49

10414263113 has 2 divisors, whose sum is σ = 10414263114. Its totient is φ = 10414263112.

The previous prime is 10414263077. The next prime is 10414263137. The reversal of 10414263113 is 31136241401.

It is a happy number.

10414263113 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., 9609292729 + 804970384 = 98027^2 + 28372^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10414263113 is a prime.

It is not a weakly prime, because it can be changed into another prime (10414563113) 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, 5207131556 + 5207131557.

It is an arithmetic number, because the mean of its divisors is an integer number (5207131557).

Almost surely, 210414263113 is an apocalyptic number.

It is an amenable number.

10414263113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10414263113 is an equidigital number, since it uses as much as digits as its factorization.

10414263113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 10414263113 in words is "ten billion, four hundred fourteen million, two hundred sixty-three thousand, one hundred thirteen".