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110010031 is a prime number
BaseRepresentation
bin1101000111010…
…01111010101111
321200000002101121
412203221322233
5211130310111
614525521411
72504032645
oct643517257
9250002347
10110010031
115710918a
1230a13267
1319a39ac1
1410879195
1599d0871
hex68e9eaf

110010031 has 2 divisors, whose sum is σ = 110010032. Its totient is φ = 110010030.

The previous prime is 110010029. The next prime is 110010049. The reversal of 110010031 is 130010011.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 110010031 - 21 = 110010029 is a prime.

It is a super-2 number, since 2×1100100312 = 24204413841241922, which contains 22 as substring.

Together with 110010029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 110009996 and 110010023.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110010071) 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, 55005015 + 55005016.

It is an arithmetic number, because the mean of its divisors is an integer number (55005016).

Almost surely, 2110010031 is an apocalyptic number.

110010031 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010031 is an equidigital number, since it uses as much as digits as its factorization.

110010031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 110010031 is about 10488.5666799616. The cubic root of 110010031 is about 479.1565497280.

Adding to 110010031 its reverse (130010011), we get a palindrome (240020042).

The spelling of 110010031 in words is "one hundred ten million, ten thousand, thirty-one".