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10001010007 is a prime number
BaseRepresentation
bin10010101000001101…
…10100110101010111
3221210222122221121001
421110012310311113
5130440224310012
64332220204131
7502556116402
oct112406646527
927728587531
1010001010007
11427234492a
121b31399647
13c34c82101
146ac346d39
153d800c357
hex2541b4d57

10001010007 has 2 divisors, whose sum is σ = 10001010008. Its totient is φ = 10001010006.

The previous prime is 10001009987. The next prime is 10001010043. The reversal of 10001010007 is 70001010001.

10001010007 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 is a cyclic number.

It is not a de Polignac number, because 10001010007 - 223 = 9992621399 is a prime.

It is a super-2 number, since 2×100010100072 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001009975 and 10001010002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001010067) 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, 5000505003 + 5000505004.

It is an arithmetic number, because the mean of its divisors is an integer number (5000505004).

Almost surely, 210001010007 is an apocalyptic number.

10001010007 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001010007 is an equidigital number, since it uses as much as digits as its factorization.

10001010007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 10.

Adding to 10001010007 its reverse (70001010001), we get a palindrome (80002020008).

The spelling of 10001010007 in words is "ten billion, one million, ten thousand, seven".