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42811000901 is a prime number
BaseRepresentation
bin100111110111101111…
…000000100001000101
311002111120110011210222
4213313233000201011
51200134104012101
631400032154125
73043616334464
oct476757004105
9132446404728
1042811000901
111717976a689
128369398945
134063561ac6
142101a569db
1511a869601b
hex9f7bc0845

42811000901 has 2 divisors, whose sum is σ = 42811000902. Its totient is φ = 42811000900.

The previous prime is 42811000847. The next prime is 42811000951. The reversal of 42811000901 is 10900011824.

42811000901 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., 41626608676 + 1184392225 = 204026^2 + 34415^2 .

It is a cyclic number.

It is not a de Polignac number, because 42811000901 - 230 = 41737259077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42811000951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21405500450 + 21405500451.

It is an arithmetic number, because the mean of its divisors is an integer number (21405500451).

Almost surely, 242811000901 is an apocalyptic number.

It is an amenable number.

42811000901 is a deficient number, since it is larger than the sum of its proper divisors (1).

42811000901 is an equidigital number, since it uses as much as digits as its factorization.

42811000901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 42811000901 in words is "forty-two billion, eight hundred eleven million, nine hundred one", and thus it is an aban number.