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1013110249 is a prime number
BaseRepresentation
bin111100011000101…
…101010111101001
32121121100022222211
4330120231113221
54033324011444
6244310245121
734051203124
oct7430552751
92547308884
101013110249
1147a9687a8
122433567a1
13131b7a628
14987a13bb
155de20c34
hex3c62d5e9

1013110249 has 2 divisors, whose sum is σ = 1013110250. Its totient is φ = 1013110248.

The previous prime is 1013110247. The next prime is 1013110271. The reversal of 1013110249 is 9420113101.

It is an a-pointer prime, because the next prime (1013110271) can be obtained adding 1013110249 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 981694224 + 31416025 = 31332^2 + 5605^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013110249 - 21 = 1013110247 is a prime.

Together with 1013110247, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1013110243) 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, 506555124 + 506555125.

It is an arithmetic number, because the mean of its divisors is an integer number (506555125).

Almost surely, 21013110249 is an apocalyptic number.

It is an amenable number.

1013110249 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013110249 is an equidigital number, since it uses as much as digits as its factorization.

1013110249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 1013110249 is about 31829.3928468640. The cubic root of 1013110249 is about 1004.3511232674.

The spelling of 1013110249 in words is "one billion, thirteen million, one hundred ten thousand, two hundred forty-nine".