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10001304121 is a prime number
BaseRepresentation
bin10010101000001111…
…11100101000111001
3221211000012220001011
421110013330220321
5130440313212441
64332230353521
7502561453024
oct112407745071
927730186034
1010001304121
1142725258a6
121b314bb8a1
13c35055c43
146ac3c21bb
153d8069581
hex2541fca39

10001304121 has 2 divisors, whose sum is σ = 10001304122. Its totient is φ = 10001304120.

The previous prime is 10001304109. The next prime is 10001304133. The reversal of 10001304121 is 12140310001.

10001304121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10001304109) and next prime (10001304133).

It can be written as a sum of positive squares in only one way, i.e., 9987204096 + 14100025 = 99936^2 + 3755^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10001304121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001304101) 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, 5000652060 + 5000652061.

It is an arithmetic number, because the mean of its divisors is an integer number (5000652061).

Almost surely, 210001304121 is an apocalyptic number.

It is an amenable number.

10001304121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001304121 is an equidigital number, since it uses as much as digits as its factorization.

10001304121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10001304121 its reverse (12140310001), we get a palindrome (22141614122).

The spelling of 10001304121 in words is "ten billion, one million, three hundred four thousand, one hundred twenty-one".