Search a number
-
+
42203122012141 is a prime number
BaseRepresentation
bin10011001100010001011100…
…00110001000111111101101
312112102120122010200012022021
421212020232012020333231
521012423443213342031
6225431502510550141
711614034464133026
oct1146105606107755
9175376563605267
1042203122012141
11124a1275162a82
1248972b8208351
131a71977bb225c
14a5c8db933c4d
154d2c002b4511
hex26622e188fed

42203122012141 has 2 divisors, whose sum is σ = 42203122012142. Its totient is φ = 42203122012140.

The previous prime is 42203122012109. The next prime is 42203122012241. The reversal of 42203122012141 is 14121022130224.

42203122012141 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., 21643662675625 + 20559459336516 = 4652275^2 + 4534254^2 .

It is a cyclic number.

It is not a de Polignac number, because 42203122012141 - 25 = 42203122012109 is a prime.

It is a super-2 number, since 2×422031220121412 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42203122012241) 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, 21101561006070 + 21101561006071.

It is an arithmetic number, because the mean of its divisors is an integer number (21101561006071).

Almost surely, 242203122012141 is an apocalyptic number.

It is an amenable number.

42203122012141 is a deficient number, since it is larger than the sum of its proper divisors (1).

42203122012141 is an equidigital number, since it uses as much as digits as its factorization.

42203122012141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 42203122012141 its reverse (14121022130224), we get a palindrome (56324144142365).

The spelling of 42203122012141 in words is "forty-two trillion, two hundred three billion, one hundred twenty-two million, twelve thousand, one hundred forty-one".