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10093753013 is a prime number
BaseRepresentation
bin10010110011010001…
…00111001010110101
3222001110011210002012
421121220213022311
5131133000044023
64345332054005
7505063325231
oct113150471265
928043153065
1010093753013
11430a72a043
121b58464305
13c4b254726
146ba7a95c1
153e122b978
hex259a272b5

10093753013 has 2 divisors, whose sum is σ = 10093753014. Its totient is φ = 10093753012.

The previous prime is 10093753003. The next prime is 10093753027. The reversal of 10093753013 is 31035739001.

10093753013 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., 8571426724 + 1522326289 = 92582^2 + 39017^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10093753013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10093753003) 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, 5046876506 + 5046876507.

It is an arithmetic number, because the mean of its divisors is an integer number (5046876507).

Almost surely, 210093753013 is an apocalyptic number.

It is an amenable number.

10093753013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10093753013 is an equidigital number, since it uses as much as digits as its factorization.

10093753013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8505, while the sum is 32.

The spelling of 10093753013 in words is "ten billion, ninety-three million, seven hundred fifty-three thousand, thirteen".