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34424100101 is a prime number
BaseRepresentation
bin100000000011110101…
…100001010100000101
310021212002000110210102
4200003311201110011
51031000032200401
623451511533445
72326030010606
oct400365412405
9107762013712
1034424100101
1113665563a06
12680868a285
133327b15801
141947c37dad
15d6722356b
hex803d61505

34424100101 has 2 divisors, whose sum is σ = 34424100102. Its totient is φ = 34424100100.

The previous prime is 34424100091. The next prime is 34424100143. The reversal of 34424100101 is 10100142443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34421380900 + 2719201 = 185530^2 + 1649^2 .

It is a cyclic number.

It is not a de Polignac number, because 34424100101 - 210 = 34424099077 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34424100701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17212050050 + 17212050051.

It is an arithmetic number, because the mean of its divisors is an integer number (17212050051).

Almost surely, 234424100101 is an apocalyptic number.

It is an amenable number.

34424100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34424100101 is an equidigital number, since it uses as much as digits as its factorization.

34424100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34424100101 its reverse (10100142443), we get a palindrome (44524242544).

The spelling of 34424100101 in words is "thirty-four billion, four hundred twenty-four million, one hundred thousand, one hundred one".