Search a number
-
+
42261101 is a prime number
BaseRepresentation
bin1010000100110…
…1101001101101
32221112002022222
42201031221231
541304323401
64105445125
71022133131
oct241155155
987462288
1042261101
1121945433
12121a07a5
1389a8a8c
1458813c1
153a9bc1b
hex284da6d

42261101 has 2 divisors, whose sum is σ = 42261102. Its totient is φ = 42261100.

The previous prime is 42261083. The next prime is 42261137. The reversal of 42261101 is 10116224.

42261101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26020201 + 16240900 = 5101^2 + 4030^2 .

It is a cyclic number.

It is not a de Polignac number, because 42261101 - 210 = 42260077 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42261101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42261181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21130550 + 21130551.

It is an arithmetic number, because the mean of its divisors is an integer number (21130551).

Almost surely, 242261101 is an apocalyptic number.

It is an amenable number.

42261101 is a deficient number, since it is larger than the sum of its proper divisors (1).

42261101 is an equidigital number, since it uses as much as digits as its factorization.

42261101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 42261101 is about 6500.8538669932. The cubic root of 42261101 is about 348.3214896934.

Adding to 42261101 its reverse (10116224), we get a palindrome (52377325).

The spelling of 42261101 in words is "forty-two million, two hundred sixty-one thousand, one hundred one".