Search a number
-
+
42478011001 is a prime number
BaseRepresentation
bin100111100011111000…
…110000001001111001
311001122100212112112201
4213203320300021321
51143443332323001
631303015110201
73032434064446
oct474370601171
9131570775481
1042478011001
1117018803418
128295972361
13400c58316a
1420ad7369cd
15118931c501
hex9e3e30279

42478011001 has 2 divisors, whose sum is σ = 42478011002. Its totient is φ = 42478011000.

The previous prime is 42478010951. The next prime is 42478011013. The reversal of 42478011001 is 10011087424.

42478011001 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., 33204128400 + 9273882601 = 182220^2 + 96301^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42478011001 is a prime.

It is not a weakly prime, because it can be changed into another prime (42478011031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21239005500 + 21239005501.

It is an arithmetic number, because the mean of its divisors is an integer number (21239005501).

Almost surely, 242478011001 is an apocalyptic number.

It is an amenable number.

42478011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

42478011001 is an equidigital number, since it uses as much as digits as its factorization.

42478011001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1792, while the sum is 28.

Adding to 42478011001 its reverse (10011087424), we get a palindrome (52489098425).

The spelling of 42478011001 in words is "forty-two billion, four hundred seventy-eight million, eleven thousand, one".