Search a number
-
+
413112103069 is a prime number
BaseRepresentation
bin1100000001011110110…
…01100111000010011101
31110111022111022012221211
412000233121213002131
523232023144244234
6513440414024421
741563205636521
oct6005731470235
91414274265854
10413112103069
1114a222015516
12680924a8111
132cc58000703
1415dcd78dd81
15ab2cae1164
hex602f66709d

413112103069 has 2 divisors, whose sum is σ = 413112103070. Its totient is φ = 413112103068.

The previous prime is 413112103067. The next prime is 413112103121. The reversal of 413112103069 is 960301211314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 394497048100 + 18615054969 = 628090^2 + 136437^2 .

It is a cyclic number.

It is not a de Polignac number, because 413112103069 - 21 = 413112103067 is a prime.

It is a super-2 number, since 2×4131121030692 (a number of 24 digits) contains 22 as substring.

Together with 413112103067, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 413112103069.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413112103067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206556051534 + 206556051535.

It is an arithmetic number, because the mean of its divisors is an integer number (206556051535).

Almost surely, 2413112103069 is an apocalyptic number.

It is an amenable number.

413112103069 is a deficient number, since it is larger than the sum of its proper divisors (1).

413112103069 is an equidigital number, since it uses as much as digits as its factorization.

413112103069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 413112103069 in words is "four hundred thirteen billion, one hundred twelve million, one hundred three thousand, sixty-nine".