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10101062441 is a prime number
BaseRepresentation
bin10010110100001000…
…11111101100101001
3222001221221010201202
421122010133230221
5131141332444231
64350152453545
7505212420431
oct113204375451
928057833652
1010101062441
114313871798
121b5a9aa2b5
13c4c913732
146bb74d2c1
153e1bc25cb
hex25a11fb29

10101062441 has 2 divisors, whose sum is σ = 10101062442. Its totient is φ = 10101062440.

The previous prime is 10101062393. The next prime is 10101062443. The reversal of 10101062441 is 14426010101.

10101062441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6308966041 + 3792096400 = 79429^2 + 61580^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101062441 - 210 = 10101061417 is a prime.

It is a Sophie Germain prime.

Together with 10101062443, 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 (10101062443) 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, 5050531220 + 5050531221.

It is an arithmetic number, because the mean of its divisors is an integer number (5050531221).

Almost surely, 210101062441 is an apocalyptic number.

It is an amenable number.

10101062441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101062441 is an equidigital number, since it uses as much as digits as its factorization.

10101062441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10101062441 its reverse (14426010101), we get a palindrome (24527072542).

The spelling of 10101062441 in words is "ten billion, one hundred one million, sixty-two thousand, four hundred forty-one".