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110100011109857 is a prime number
BaseRepresentation
bin11001000010001010101000…
…000011010100110111100001
3112102211110101002002120012222
4121002022220003110313201
5103412334310321003412
61030055125153000425
732122314625106366
oct3102125003246741
9472743332076188
10110100011109857
1132099174a7429a
1210422152b53115
1349585041a0982
141d28c2465446d
15cade498e4072
hex6422a80d4de1

110100011109857 has 2 divisors, whose sum is σ = 110100011109858. Its totient is φ = 110100011109856.

The previous prime is 110100011109841. The next prime is 110100011109887. The reversal of 110100011109857 is 758901110001011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108308479722496 + 1791531387361 = 10407136^2 + 1338481^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100011109857 - 24 = 110100011109841 is a prime.

It is not a weakly prime, because it can be changed into another prime (110100011109887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050005554928 + 55050005554929.

It is an arithmetic number, because the mean of its divisors is an integer number (55050005554929).

Almost surely, 2110100011109857 is an apocalyptic number.

It is an amenable number.

110100011109857 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100011109857 is an equidigital number, since it uses as much as digits as its factorization.

110100011109857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 35.

The spelling of 110100011109857 in words is "one hundred ten trillion, one hundred billion, eleven million, one hundred nine thousand, eight hundred fifty-seven".