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110331313093 is a prime number
BaseRepresentation
bin110011011000001000…
…0100011101111000101
3101112210011211102111101
41212300100203233011
53301424304004333
6122404022540101
710654053454561
oct1466020435705
9345704742441
10110331313093
1142878171591
1219471897631
13a53403c561
1454a91c86a1
152d0b23e67d
hex19b0423bc5

110331313093 has 2 divisors, whose sum is σ = 110331313094. Its totient is φ = 110331313092.

The previous prime is 110331313087. The next prime is 110331313151. The reversal of 110331313093 is 390313133011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80311592449 + 30019720644 = 283393^2 + 173262^2 .

It is a cyclic number.

It is not a de Polignac number, because 110331313093 - 25 = 110331313061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110331313033) 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, 55165656546 + 55165656547.

It is an arithmetic number, because the mean of its divisors is an integer number (55165656547).

Almost surely, 2110331313093 is an apocalyptic number.

It is an amenable number.

110331313093 is a deficient number, since it is larger than the sum of its proper divisors (1).

110331313093 is an equidigital number, since it uses as much as digits as its factorization.

110331313093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 28.

The spelling of 110331313093 in words is "one hundred ten billion, three hundred thirty-one million, three hundred thirteen thousand, ninety-three".