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10024134037 is a prime number
BaseRepresentation
bin10010101010111110…
…00010010110010101
3221212121011202210121
421111133002112111
5131012134242122
64334403551541
7503256506401
oct112537022625
927777152717
1010024134037
1142843a92a5
121b3908b5b1
13c399ba478
146b1446101
153da078bc7
hex2557c2595

10024134037 has 2 divisors, whose sum is σ = 10024134038. Its totient is φ = 10024134036.

The previous prime is 10024133989. The next prime is 10024134049. The reversal of 10024134037 is 73043142001.

10024134037 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., 8999557956 + 1024576081 = 94866^2 + 32009^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10024134037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10024137037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5012067018 + 5012067019.

It is an arithmetic number, because the mean of its divisors is an integer number (5012067019).

Almost surely, 210024134037 is an apocalyptic number.

It is an amenable number.

10024134037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10024134037 is an equidigital number, since it uses as much as digits as its factorization.

10024134037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 25.

Adding to 10024134037 its reverse (73043142001), we get a palindrome (83067276038).

The spelling of 10024134037 in words is "ten billion, twenty-four million, one hundred thirty-four thousand, thirty-seven".