Search a number
-
+
42121027057 is a prime number
BaseRepresentation
bin100111001110100110…
…111101110111110001
311000201111010212122011
4213032212331313301
51142230440331212
631203343442521
73020540552104
oct471646756761
9130644125564
1042121027057
111695524906a
1281b62b6441
133c83623165
14207816c73b
151167d044a7
hex9ce9bddf1

42121027057 has 2 divisors, whose sum is σ = 42121027058. Its totient is φ = 42121027056.

The previous prime is 42121027051. The next prime is 42121027087. The reversal of 42121027057 is 75072012124.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41456624881 + 664402176 = 203609^2 + 25776^2 .

It is a cyclic number.

It is not a de Polignac number, because 42121027057 - 27 = 42121026929 is a prime.

It is not a weakly prime, because it can be changed into another prime (42121027051) 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, 21060513528 + 21060513529.

It is an arithmetic number, because the mean of its divisors is an integer number (21060513529).

Almost surely, 242121027057 is an apocalyptic number.

It is an amenable number.

42121027057 is a deficient number, since it is larger than the sum of its proper divisors (1).

42121027057 is an equidigital number, since it uses as much as digits as its factorization.

42121027057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7840, while the sum is 31.

The spelling of 42121027057 in words is "forty-two billion, one hundred twenty-one million, twenty-seven thousand, fifty-seven".