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42042224137 is a prime number
BaseRepresentation
bin100111001001111010…
…010110111000001001
311000111222212021100111
4213021322112320021
51142100302133022
631151450434321
73015563003014
oct471172267011
9130458767314
1042042224137
1116914815291
128193a329a1
133c701c1904
14206b8d837b
151160e3a477
hex9c9e96e09

42042224137 has 2 divisors, whose sum is σ = 42042224138. Its totient is φ = 42042224136.

The previous prime is 42042224093. The next prime is 42042224171. The reversal of 42042224137 is 73142224024.

42042224137 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., 38232371961 + 3809852176 = 195531^2 + 61724^2 .

It is a cyclic number.

It is not a de Polignac number, because 42042224137 - 231 = 39894740489 is a prime.

It is a super-2 number, since 2×420422241372 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42042224099 and 42042224108.

It is not a weakly prime, because it can be changed into another prime (42042224177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21021112068 + 21021112069.

It is an arithmetic number, because the mean of its divisors is an integer number (21021112069).

Almost surely, 242042224137 is an apocalyptic number.

It is an amenable number.

42042224137 is a deficient number, since it is larger than the sum of its proper divisors (1).

42042224137 is an equidigital number, since it uses as much as digits as its factorization.

42042224137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21504, while the sum is 31.

The spelling of 42042224137 in words is "forty-two billion, forty-two million, two hundred twenty-four thousand, one hundred thirty-seven".