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10011040441 is a prime number
BaseRepresentation
bin10010101001011010…
…00101101010111001
3221211200112112202121
421110231011222321
5131000311243231
64333215201241
7503040303553
oct112455055271
927750475677
1010011040441
114277a75946
121b34816221
13c3708478c
146ad7d84d3
153d8d3e311
hex254b45ab9

10011040441 has 2 divisors, whose sum is σ = 10011040442. Its totient is φ = 10011040440.

The previous prime is 10011040433. The next prime is 10011040471. The reversal of 10011040441 is 14404011001.

10011040441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6751087225 + 3259953216 = 82165^2 + 57096^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011040441 - 23 = 10011040433 is a prime.

It is a super-2 number, since 2×100110404412 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10011040471) 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, 5005520220 + 5005520221.

It is an arithmetic number, because the mean of its divisors is an integer number (5005520221).

Almost surely, 210011040441 is an apocalyptic number.

It is an amenable number.

10011040441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011040441 is an equidigital number, since it uses as much as digits as its factorization.

10011040441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10011040441 its reverse (14404011001), we get a palindrome (24415051442).

The spelling of 10011040441 in words is "ten billion, eleven million, forty thousand, four hundred forty-one".