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110038872817 is a prime number
BaseRepresentation
bin110011001111011010…
…0111111001011110001
3101112000210112220212001
41212132310333023301
53300324422412232
6122315014534001
710643602662166
oct1463664771361
9345023486761
10110038872817
1142738090905
12193ab967301
13a4b858a683
14547c42206d
152ce07256e7
hex199ed3f2f1

110038872817 has 2 divisors, whose sum is σ = 110038872818. Its totient is φ = 110038872816.

The previous prime is 110038872763. The next prime is 110038872871. The reversal of 110038872817 is 718278830011.

Together with next prime (110038872871) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (110038872763) and next prime (110038872871).

It can be written as a sum of positive squares in only one way, i.e., 94160604736 + 15878268081 = 306856^2 + 126009^2 .

It is a cyclic number.

It is not a de Polignac number, because 110038872817 - 211 = 110038870769 is a prime.

It is not a weakly prime, because it can be changed into another prime (110038876817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55019436408 + 55019436409.

It is an arithmetic number, because the mean of its divisors is an integer number (55019436409).

Almost surely, 2110038872817 is an apocalyptic number.

It is an amenable number.

110038872817 is a deficient number, since it is larger than the sum of its proper divisors (1).

110038872817 is an equidigital number, since it uses as much as digits as its factorization.

110038872817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150528, while the sum is 46.

The spelling of 110038872817 in words is "one hundred ten billion, thirty-eight million, eight hundred seventy-two thousand, eight hundred seventeen".