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10112200001 is a prime number
BaseRepresentation
bin10010110101011101…
…11110110101000001
3222002201212222120222
421122232332311001
5131202210400001
64351231312425
7505406165441
oct113256766501
928081788528
1010112200001
11431a089592
121b6267b715
13c52012cc7
146bd00c121
153e2b7261b
hex25abbed41

10112200001 has 2 divisors, whose sum is σ = 10112200002. Its totient is φ = 10112200000.

The previous prime is 10112199971. The next prime is 10112200003. The reversal of 10112200001 is 10000221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5909919376 + 4202280625 = 76876^2 + 64825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10112200001 is a prime.

It is a Sophie Germain prime.

Together with 10112200003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10112200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056100000 + 5056100001.

It is an arithmetic number, because the mean of its divisors is an integer number (5056100001).

Almost surely, 210112200001 is an apocalyptic number.

It is an amenable number.

10112200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112200001 is an equidigital number, since it uses as much as digits as its factorization.

10112200001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10112200001 its reverse (10000221101), we get a palindrome (20112421102).

The spelling of 10112200001 in words is "ten billion, one hundred twelve million, two hundred thousand, one".