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10034140381 is a prime number
BaseRepresentation
bin10010101100001010…
…01101010011011101
3221220022000010220221
421112011031103131
5131022214443011
64335402241341
7503440533406
oct112605152335
927808003827
1010034140381
11428a013201
121b404b6251
13c3bab1b95
146b28cc9ad
153dada3971
hex25614d4dd

10034140381 has 2 divisors, whose sum is σ = 10034140382. Its totient is φ = 10034140380.

The previous prime is 10034140373. The next prime is 10034140399. The reversal of 10034140381 is 18304143001.

10034140381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7667804356 + 2366336025 = 87566^2 + 48645^2 .

It is a cyclic number.

It is not a de Polignac number, because 10034140381 - 23 = 10034140373 is a prime.

It is a super-2 number, since 2×100341403812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10034840381) 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, 5017070190 + 5017070191.

It is an arithmetic number, because the mean of its divisors is an integer number (5017070191).

Almost surely, 210034140381 is an apocalyptic number.

It is an amenable number.

10034140381 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034140381 is an equidigital number, since it uses as much as digits as its factorization.

10034140381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 10034140381 its reverse (18304143001), we get a palindrome (28338283382).

The spelling of 10034140381 in words is "ten billion, thirty-four million, one hundred forty thousand, three hundred eighty-one".