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10031012441 is a prime number
BaseRepresentation
bin10010101011110010…
…10001101001011001
3221220002010020012022
421111321101221121
5131020414344231
64335211224225
7503402125142
oct112571215131
927802106168
1010031012441
11428827712a
121b3b448075
13c3b258228
146b2316ac9
153da986c7b
hex255e51a59

10031012441 has 2 divisors, whose sum is σ = 10031012442. Its totient is φ = 10031012440.

The previous prime is 10031012413. The next prime is 10031012461. The reversal of 10031012441 is 14421013001.

It is a happy number.

10031012441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8258265625 + 1772746816 = 90875^2 + 42104^2 .

It is an emirp because it is prime and its reverse (14421013001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10031012441 - 26 = 10031012377 is a prime.

It is not a weakly prime, because it can be changed into another prime (10031012461) 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, 5015506220 + 5015506221.

It is an arithmetic number, because the mean of its divisors is an integer number (5015506221).

Almost surely, 210031012441 is an apocalyptic number.

It is an amenable number.

10031012441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031012441 is an equidigital number, since it uses as much as digits as its factorization.

10031012441 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 17.

Adding to 10031012441 its reverse (14421013001), we get a palindrome (24452025442).

The spelling of 10031012441 in words is "ten billion, thirty-one million, twelve thousand, four hundred forty-one".