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10101234109 is a prime number
BaseRepresentation
bin10010110100001010…
…01001100110111101
3222001222020212012211
421122011021212331
5131141403442414
64350200300421
7505214034061
oct113205114675
928058225184
1010101234109
11431397976a
121b5aa71711
13c4c973905
146bb795aa1
153e1c083c4
hex25a1499bd

10101234109 has 2 divisors, whose sum is σ = 10101234110. Its totient is φ = 10101234108.

The previous prime is 10101234107. The next prime is 10101234137. The reversal of 10101234109 is 90143210101.

10101234109 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 can be written as a sum of positive squares in only one way, i.e., 10095828484 + 5405625 = 100478^2 + 2325^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101234109 - 21 = 10101234107 is a prime.

Together with 10101234107, it forms a pair of twin primes.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10101234109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101234107) 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, 5050617054 + 5050617055.

It is an arithmetic number, because the mean of its divisors is an integer number (5050617055).

Almost surely, 210101234109 is an apocalyptic number.

It is an amenable number.

10101234109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101234109 is an equidigital number, since it uses as much as digits as its factorization.

10101234109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 10101234109 in words is "ten billion, one hundred one million, two hundred thirty-four thousand, one hundred nine".