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42344123104001 is a prime number
BaseRepresentation
bin10011010000011000000100…
…11010100111101100000001
312112221001120202002210220202
421220030002122213230001
521022231231003312001
6230020342133414545
711630155562501345
oct1150140232475401
9175831522083822
1042344123104001
1112546050646264
1248ba6a919a455
131a82058ca43a4
14a656760b5625
154d6703d3096b
hex2683026a7b01

42344123104001 has 2 divisors, whose sum is σ = 42344123104002. Its totient is φ = 42344123104000.

The previous prime is 42344123103967. The next prime is 42344123104027. The reversal of 42344123104001 is 10040132144324.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42243760230400 + 100362873601 = 6499520^2 + 316801^2 .

It is a cyclic number.

It is not a de Polignac number, because 42344123104001 - 210 = 42344123102977 is a prime.

It is a super-2 number, since 2×423441231040012 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42344123104051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21172061552000 + 21172061552001.

It is an arithmetic number, because the mean of its divisors is an integer number (21172061552001).

Almost surely, 242344123104001 is an apocalyptic number.

It is an amenable number.

42344123104001 is a deficient number, since it is larger than the sum of its proper divisors (1).

42344123104001 is an equidigital number, since it uses as much as digits as its factorization.

42344123104001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 42344123104001 its reverse (10040132144324), we get a palindrome (52384255248325).

The spelling of 42344123104001 in words is "forty-two trillion, three hundred forty-four billion, one hundred twenty-three million, one hundred four thousand, one".