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1100110110031 is a prime number
BaseRepresentation
bin10000000000100011101…
…011000001110101001111
310220011120120020221022001
4100000203223001311033
5121011011142010111
62201214505333131
7142323516435022
oct20004353016517
93804516227261
101100110110031
11394610528319
121592607971a7
137c98084b73a
143b361d6b1b9
151d93a4a11c1
hex10023ac1d4f

1100110110031 has 2 divisors, whose sum is σ = 1100110110032. Its totient is φ = 1100110110030.

The previous prime is 1100110109971. The next prime is 1100110110041. The reversal of 1100110110031 is 1300110110011.

It is an a-pointer prime, because the next prime (1100110110041) can be obtained adding 1100110110031 to its sum of digits (10).

It is a strong prime.

It is an emirp because it is prime and its reverse (1300110110011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1100110110031 - 29 = 1100110109519 is a prime.

It is a super-2 number, since 2×11001101100312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100110110041) 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, 550055055015 + 550055055016.

It is an arithmetic number, because the mean of its divisors is an integer number (550055055016).

Almost surely, 21100110110031 is an apocalyptic number.

1100110110031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100110110031 is an equidigital number, since it uses as much as digits as its factorization.

1100110110031 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 10.

Adding to 1100110110031 its reverse (1300110110011), we get a palindrome (2400220220042).

The spelling of 1100110110031 in words is "one trillion, one hundred billion, one hundred ten million, one hundred ten thousand, thirty-one".