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10118128441 is a prime number
BaseRepresentation
bin10010110110001011…
…00110001100111001
3222010011001011212211
421123011212030321
5131210220102231
64352002335121
7505510446511
oct113305461471
928104034784
1010118128441
114322468723
121b6465a4a1
13c5330a565
146bdb12841
153e3443eb1
hex25b166339

10118128441 has 2 divisors, whose sum is σ = 10118128442. Its totient is φ = 10118128440.

The previous prime is 10118128439. The next prime is 10118128469. The reversal of 10118128441 is 14482181101.

10118128441 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., 9603020025 + 515108416 = 97995^2 + 22696^2 .

It is an emirp because it is prime and its reverse (14482181101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10118128441 - 21 = 10118128439 is a prime.

Together with 10118128439, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10118123441) 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, 5059064220 + 5059064221.

It is an arithmetic number, because the mean of its divisors is an integer number (5059064221).

Almost surely, 210118128441 is an apocalyptic number.

It is an amenable number.

10118128441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10118128441 is an equidigital number, since it uses as much as digits as its factorization.

10118128441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 31.

The spelling of 10118128441 in words is "ten billion, one hundred eighteen million, one hundred twenty-eight thousand, four hundred forty-one".