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981249149 is a prime number
BaseRepresentation
bin111010011111001…
…010110001111101
32112101101121210002
4322133022301331
54002144433044
6241211324045
733213323456
oct7237126175
92471347702
10981249149
11463987011
12234750625
131283a34ca
149446a12d
155b22a74e
hex3a7cac7d

981249149 has 2 divisors, whose sum is σ = 981249150. Its totient is φ = 981249148.

The previous prime is 981249131. The next prime is 981249151. The reversal of 981249149 is 941942189.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 514473124 + 466776025 = 22682^2 + 21605^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-981249149 is a prime.

Together with 981249151, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (981249349) 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, 490624574 + 490624575.

It is an arithmetic number, because the mean of its divisors is an integer number (490624575).

Almost surely, 2981249149 is an apocalyptic number.

It is an amenable number.

981249149 is a deficient number, since it is larger than the sum of its proper divisors (1).

981249149 is an equidigital number, since it uses as much as digits as its factorization.

981249149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 186624, while the sum is 47.

The square root of 981249149 is about 31324.8966319125. The cubic root of 981249149 is about 993.7102381728.

The spelling of 981249149 in words is "nine hundred eighty-one million, two hundred forty-nine thousand, one hundred forty-nine".