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42241201181 is a prime number
BaseRepresentation
bin100111010101110001…
…011001010000011101
311001000212021100112122
4213111301121100131
51143002221414211
631223315312325
73023530200014
oct472561312035
9131025240478
1042241201181
1116a07069723
12822a5ab6a5
133ca24ab3ca
14208a0d1a7b
1511736416db
hex9d5c5941d

42241201181 has 2 divisors, whose sum is σ = 42241201182. Its totient is φ = 42241201180.

The previous prime is 42241201157. The next prime is 42241201199. The reversal of 42241201181 is 18110214224.

42241201181 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., 35400422500 + 6840778681 = 188150^2 + 82709^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42241201181 is a prime.

It is a super-3 number, since 3×422412011813 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 42241201181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42241206181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21120600590 + 21120600591.

It is an arithmetic number, because the mean of its divisors is an integer number (21120600591).

Almost surely, 242241201181 is an apocalyptic number.

It is an amenable number.

42241201181 is a deficient number, since it is larger than the sum of its proper divisors (1).

42241201181 is an equidigital number, since it uses as much as digits as its factorization.

42241201181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 42241201181 in words is "forty-two billion, two hundred forty-one million, two hundred one thousand, one hundred eighty-one".