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10014103001 = 72601340049
BaseRepresentation
bin10010101001110001…
…10001010111011001
3221211220022010210202
421110320301113121
5131002102244001
64333404551545
7503105320400
oct112470612731
927756263722
1010014103001
114279777891
121b358525b5
13c378b7746
146add94637
153d924696b
hex254e315d9

10014103001 has 12 divisors (see below), whose sum is σ = 11668475700. Its totient is φ = 8569209600.

The previous prime is 10014102991. The next prime is 10014103027. The reversal of 10014103001 is 10030141001.

10014103001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6684697600 + 3329405401 = 81760^2 + 57701^2 .

It is not a de Polignac number, because 10014103001 - 222 = 10009908697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10014103051) 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 in 11 ways as a sum of consecutive naturals, for example, 140576 + ... + 199473.

It is an arithmetic number, because the mean of its divisors is an integer number (972372975).

Almost surely, 210014103001 is an apocalyptic number.

It is an amenable number.

10014103001 is a deficient number, since it is larger than the sum of its proper divisors (1654372699).

10014103001 is an equidigital number, since it uses as much as digits as its factorization.

10014103001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340664 (or 340657 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10014103001 its reverse (10030141001), we get a palindrome (20044244002).

The spelling of 10014103001 in words is "ten billion, fourteen million, one hundred three thousand, one".

Divisors: 1 7 49 601 4207 29449 340049 2380343 16662401 204369449 1430586143 10014103001