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110131249 is a prime number
BaseRepresentation
bin1101001000001…
…11100000110001
321200020020200011
412210013200301
5211143144444
614532254521
72505046234
oct644074061
9250206604
10110131249
1157191268
1230a71441
1319a80027
14108ab41b
159a06734
hex6907831

110131249 has 2 divisors, whose sum is σ = 110131250. Its totient is φ = 110131248.

The previous prime is 110131247. The next prime is 110131271. The reversal of 110131249 is 942131011.

It is an a-pointer prime, because the next prime (110131271) can be obtained adding 110131249 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., 102111025 + 8020224 = 10105^2 + 2832^2 .

It is a cyclic number.

It is not a de Polignac number, because 110131249 - 21 = 110131247 is a prime.

Together with 110131247, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (110131243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55065624 + 55065625.

It is an arithmetic number, because the mean of its divisors is an integer number (55065625).

Almost surely, 2110131249 is an apocalyptic number.

It is an amenable number.

110131249 is a deficient number, since it is larger than the sum of its proper divisors (1).

110131249 is an equidigital number, since it uses as much as digits as its factorization.

110131249 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 110131249 is about 10494.3436669474. The cubic root of 110131249 is about 479.3324763469.

The spelling of 110131249 in words is "one hundred ten million, one hundred thirty-one thousand, two hundred forty-nine".