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110002111031 is a prime number
BaseRepresentation
bin110011001110010100…
…0110000001000110111
3101111221020101020011102
41212130220300020313
53300241020023111
6122311223000315
710642645342031
oct1463450601067
9344836336142
10110002111031
114271936216a
121939b59909b
13a4b0a88a37
1454775b2c51
152cdc3b313b
hex199ca30237

110002111031 has 2 divisors, whose sum is σ = 110002111032. Its totient is φ = 110002111030.

The previous prime is 110002111027. The next prime is 110002111033. The reversal of 110002111031 is 130111200011.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 110002111031 - 22 = 110002111027 is a prime.

It is a super-2 number, since 2×1100021110312 (a number of 23 digits) contains 22 as substring.

Together with 110002111033, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110002111033) 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, 55001055515 + 55001055516.

It is an arithmetic number, because the mean of its divisors is an integer number (55001055516).

Almost surely, 2110002111031 is an apocalyptic number.

110002111031 is a deficient number, since it is larger than the sum of its proper divisors (1).

110002111031 is an equidigital number, since it uses as much as digits as its factorization.

110002111031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 110002111031 its reverse (130111200011), we get a palindrome (240113311042).

The spelling of 110002111031 in words is "one hundred ten billion, two million, one hundred eleven thousand, thirty-one".