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10058824441 is a prime number
BaseRepresentation
bin10010101111000110…
…10111101011111001
3221222000110020002101
421113203113223321
5131100024340231
64342043303401
7504160411531
oct112743275371
927860406071
1010058824441
1142a1a42756
121b4881ab61
13c43c45333
146b5cb64c1
153dd12c661
hex2578d7af9

10058824441 has 2 divisors, whose sum is σ = 10058824442. Its totient is φ = 10058824440.

The previous prime is 10058824397. The next prime is 10058824459. The reversal of 10058824441 is 14442885001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9887319225 + 171505216 = 99435^2 + 13096^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10058824441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10058824441.

It is not a weakly prime, because it can be changed into another prime (10058824471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5029412220 + 5029412221.

It is an arithmetic number, because the mean of its divisors is an integer number (5029412221).

Almost surely, 210058824441 is an apocalyptic number.

It is an amenable number.

10058824441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10058824441 is an equidigital number, since it uses as much as digits as its factorization.

10058824441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40960, while the sum is 37.

The spelling of 10058824441 in words is "ten billion, fifty-eight million, eight hundred twenty-four thousand, four hundred forty-one".