Search a number
-
+
1011142293857 is a prime number
BaseRepresentation
bin11101011011011001100…
…01101111100101100001
310120122221020121121012022
432231230301233211201
5113031304411400412
62052302400311225
7133024022454533
oct16555461574541
93518836547168
101011142293857
1135a906512213
12143b71612515
1374472824627
1436d22197853
151b47ea61a72
hexeb6cc6f961

1011142293857 has 2 divisors, whose sum is σ = 1011142293858. Its totient is φ = 1011142293856.

The previous prime is 1011142293839. The next prime is 1011142293883. The reversal of 1011142293857 is 7583922411101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 985580359696 + 25561934161 = 992764^2 + 159881^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011142293857 - 232 = 1006847326561 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011142293817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505571146928 + 505571146929.

It is an arithmetic number, because the mean of its divisors is an integer number (505571146929).

Almost surely, 21011142293857 is an apocalyptic number.

It is an amenable number.

1011142293857 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011142293857 is an equidigital number, since it uses as much as digits as its factorization.

1011142293857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 44.

The spelling of 1011142293857 in words is "one trillion, eleven billion, one hundred forty-two million, two hundred ninety-three thousand, eight hundred fifty-seven".