Search a number
-
+
42067124201 is a prime number
BaseRepresentation
bin100111001011011001…
…010101111111101001
311000120201201022211002
4213023121111333221
51142123140433301
631154140244345
73016314440654
oct471331257751
9130521638732
1042067124201
1116927882053
1281a02406b5
133c753cc48b
142070d3a89b
15116320816b
hex9cb655fe9

42067124201 has 2 divisors, whose sum is σ = 42067124202. Its totient is φ = 42067124200.

The previous prime is 42067124191. The next prime is 42067124233. The reversal of 42067124201 is 10242176024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37956390976 + 4110733225 = 194824^2 + 64115^2 .

It is a cyclic number.

It is not a de Polignac number, because 42067124201 - 210 = 42067123177 is a prime.

It is a super-3 number, since 3×420671242013 (a number of 33 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (42067144201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21033562100 + 21033562101.

It is an arithmetic number, because the mean of its divisors is an integer number (21033562101).

Almost surely, 242067124201 is an apocalyptic number.

It is an amenable number.

42067124201 is a deficient number, since it is larger than the sum of its proper divisors (1).

42067124201 is an equidigital number, since it uses as much as digits as its factorization.

42067124201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 42067124201 in words is "forty-two billion, sixty-seven million, one hundred twenty-four thousand, two hundred one".