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981144013 is a prime number
BaseRepresentation
bin111010011110110…
…001000111001101
32112101012021120011
4322132301013031
54002133102023
6241205153221
733212405113
oct7236610715
92471167504
10981144013
11463915023
122346bb811
131283676b5
149443dab3
155b20950d
hex3a7b11cd

981144013 has 2 divisors, whose sum is σ = 981144014. Its totient is φ = 981144012.

The previous prime is 981144011. The next prime is 981144053. The reversal of 981144013 is 310441189.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 900180009 + 80964004 = 30003^2 + 8998^2 .

It is a cyclic number.

It is not a de Polignac number, because 981144013 - 21 = 981144011 is a prime.

Together with 981144011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (981144011) 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, 490572006 + 490572007.

It is an arithmetic number, because the mean of its divisors is an integer number (490572007).

Almost surely, 2981144013 is an apocalyptic number.

It is an amenable number.

981144013 is a deficient number, since it is larger than the sum of its proper divisors (1).

981144013 is an equidigital number, since it uses as much as digits as its factorization.

981144013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 981144013 is about 31323.2184329772. The cubic root of 981144013 is about 993.6747465238.

It can be divided in two parts, 9811 and 44013, that added together give a square (53824 = 2322).

The spelling of 981144013 in words is "nine hundred eighty-one million, one hundred forty-four thousand, thirteen".