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10024141013 is a prime number
BaseRepresentation
bin10010101010111110…
…00100000011010101
3221212121012010100222
421111133010003111
5131012140003023
64334404044125
7503256535625
oct112537040325
927777163328
1010024141013
114284403567
121b39093645
13c399c06b3
146b1448885
153da07acc8
hex2557c40d5

10024141013 has 2 divisors, whose sum is σ = 10024141014. Its totient is φ = 10024141012.

The previous prime is 10024140961. The next prime is 10024141031. The reversal of 10024141013 is 31014142001.

It is a happy number.

Together with next prime (10024141031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9636759889 + 387381124 = 98167^2 + 19682^2 .

It is an emirp because it is prime and its reverse (31014142001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10024141013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10024140982 and 10024141000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10024141033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5012070506 + 5012070507.

It is an arithmetic number, because the mean of its divisors is an integer number (5012070507).

Almost surely, 210024141013 is an apocalyptic number.

It is an amenable number.

10024141013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10024141013 is an equidigital number, since it uses as much as digits as its factorization.

10024141013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10024141013 its reverse (31014142001), we get a palindrome (41038283014).

The spelling of 10024141013 in words is "ten billion, twenty-four million, one hundred forty-one thousand, thirteen".