Search a number
-
+
1010331149 is a prime number
BaseRepresentation
bin111100001110000…
…110111000001101
32121102010010210012
4330032012320031
54032121044044
6244130523005
734015446602
oct7416067015
92542103705
101010331149
1147933a823
12242436465
131314166a9
149827a6a9
155da7259e
hex3c386e0d

1010331149 has 2 divisors, whose sum is σ = 1010331150. Its totient is φ = 1010331148.

The previous prime is 1010331109. The next prime is 1010331151. The reversal of 1010331149 is 9411330101.

1010331149 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., 892933924 + 117397225 = 29882^2 + 10835^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010331149 - 212 = 1010327053 is a prime.

It is a Sophie Germain prime.

Together with 1010331151, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010331109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505165574 + 505165575.

It is an arithmetic number, because the mean of its divisors is an integer number (505165575).

Almost surely, 21010331149 is an apocalyptic number.

It is an amenable number.

1010331149 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010331149 is an equidigital number, since it uses as much as digits as its factorization.

1010331149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 1010331149 is about 31785.7066776877. The cubic root of 1010331149 is about 1003.4319247520.

The spelling of 1010331149 in words is "one billion, ten million, three hundred thirty-one thousand, one hundred forty-nine".