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34140101 is a prime number
BaseRepresentation
bin1000001000111…
…0111111000101
32101020111102012
42002032333011
532214440401
63215424005
7563120552
oct202167705
971214365
1034140101
11182a8a66
12b525005
1370c4558
144769a29
152ee58bb
hex208efc5

34140101 has 2 divisors, whose sum is σ = 34140102. Its totient is φ = 34140100.

The previous prime is 34140091. The next prime is 34140103. The reversal of 34140101 is 10104143.

It is a happy number.

34140101 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., 33339076 + 801025 = 5774^2 + 895^2 .

It is a cyclic number.

It is not a de Polignac number, because 34140101 - 26 = 34140037 is a prime.

Together with 34140103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34140103) 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, 17070050 + 17070051.

It is an arithmetic number, because the mean of its divisors is an integer number (17070051).

Almost surely, 234140101 is an apocalyptic number.

It is an amenable number.

34140101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34140101 is an equidigital number, since it uses as much as digits as its factorization.

34140101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 34140101 is about 5842.9531060928. The cubic root of 34140101 is about 324.4055437199.

Adding to 34140101 its reverse (10104143), we get a palindrome (44244244).

The spelling of 34140101 in words is "thirty-four million, one hundred forty thousand, one hundred one".