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34134101 is a prime number
BaseRepresentation
bin1000001000110…
…1100001010101
32101020012011222
42002031201111
532214242401
63215340125
7563064221
oct202154125
971205158
1034134101
11182a4501
12b521645
1370c18c1
144767781
152ee3c1b
hex208d855

34134101 has 2 divisors, whose sum is σ = 34134102. Its totient is φ = 34134100.

The previous prime is 34134077. The next prime is 34134119. The reversal of 34134101 is 10143143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18054001 + 16080100 = 4249^2 + 4010^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34134101 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34134101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34134151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17067050 + 17067051.

It is an arithmetic number, because the mean of its divisors is an integer number (17067051).

Almost surely, 234134101 is an apocalyptic number.

It is an amenable number.

34134101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34134101 is an equidigital number, since it uses as much as digits as its factorization.

34134101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 34134101 is about 5842.4396445321. The cubic root of 34134101 is about 324.3865382372.

Adding to 34134101 its reverse (10143143), we get a palindrome (44277244).

The spelling of 34134101 in words is "thirty-four million, one hundred thirty-four thousand, one hundred one".