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10111621241 is a prime number
BaseRepresentation
bin10010110101011001…
…10001100001111001
3222002200210120200102
421122230301201321
5131202033334431
64351211045145
7505401235211
oct113254614171
928080716612
1010111621241
114319823777
121b624407b5
13c51b6c747
146bccdb241
153e2aaadcb
hex25ab31879

10111621241 has 2 divisors, whose sum is σ = 10111621242. Its totient is φ = 10111621240.

The previous prime is 10111621237. The next prime is 10111621253. The reversal of 10111621241 is 14212611101.

10111621241 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., 9067038841 + 1044582400 = 95221^2 + 32320^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111621241 - 22 = 10111621237 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111621841) 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, 5055810620 + 5055810621.

It is an arithmetic number, because the mean of its divisors is an integer number (5055810621).

Almost surely, 210111621241 is an apocalyptic number.

It is an amenable number.

10111621241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111621241 is an equidigital number, since it uses as much as digits as its factorization.

10111621241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 20.

The spelling of 10111621241 in words is "ten billion, one hundred eleven million, six hundred twenty-one thousand, two hundred forty-one".