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10024330017131 is a prime number
BaseRepresentation
bin1001000111011111100010…
…1000010011100101101011
31022111022112210110011220222
42101313320220103211223
52303214311441022011
633153040313440255
72053143146153663
oct221677050234553
938438483404828
1010024330017131
113215326a62aa1
12115a947a1008b
135793a0932371
142692745131a3
15125b50dc1ddb
hex91df8a1396b

10024330017131 has 2 divisors, whose sum is σ = 10024330017132. Its totient is φ = 10024330017130.

The previous prime is 10024330017071. The next prime is 10024330017133. The reversal of 10024330017131 is 13171003342001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10024330017131 - 214 = 10024330000747 is a prime.

It is a super-3 number, since 3×100243300171313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 10024330017133, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10024330017131.

It is not a weakly prime, because it can be changed into another prime (10024330017133) 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, 5012165008565 + 5012165008566.

It is an arithmetic number, because the mean of its divisors is an integer number (5012165008566).

Almost surely, 210024330017131 is an apocalyptic number.

10024330017131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10024330017131 is an equidigital number, since it uses as much as digits as its factorization.

10024330017131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 10024330017131 its reverse (13171003342001), we get a palindrome (23195333359132).

The spelling of 10024330017131 in words is "ten trillion, twenty-four billion, three hundred thirty million, seventeen thousand, one hundred thirty-one".