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110044444440011 is a prime number
BaseRepresentation
bin11001000001010110111000…
…000001010011010111001011
3112102122010221112121021010212
4121001112320001103113023
5103410432010234040021
61030013415254231335
732115306630155444
oct3101267001232713
9472563845537125
10110044444440011
1132077650040854
121041342595554b
1349531ba076483
141d262728b42cb
15cac7964b085b
hex6415b80535cb

110044444440011 has 2 divisors, whose sum is σ = 110044444440012. Its totient is φ = 110044444440010.

The previous prime is 110044444439929. The next prime is 110044444440037.

110044444440011 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110044444440011 is a prime.

It is a super-2 number, since 2×1100444444400112 (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 110044444440011.

It is not a weakly prime, because it can be changed into another prime (110044444440811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55022222220005 + 55022222220006.

It is an arithmetic number, because the mean of its divisors is an integer number (55022222220006).

Almost surely, 2110044444440011 is an apocalyptic number.

110044444440011 is a deficient number, since it is larger than the sum of its proper divisors (1).

110044444440011 is an equidigital number, since it uses as much as digits as its factorization.

110044444440011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 110044444440011 in words is "one hundred ten trillion, forty-four billion, four hundred forty-four million, four hundred forty thousand, eleven".