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34141101 = 3103313353
BaseRepresentation
bin1000001000111…
…1001110101101
32101020112210020
42002033032231
532220003401
63215432353
7563123511
oct202171655
971215706
1034141101
11182a9795
12b5256b9
1370c4b47
14476a141
152ee5d36
hex208f3ad

34141101 has 16 divisors (see below), whose sum is σ = 46240896. Its totient is φ = 22404096.

The previous prime is 34141087. The next prime is 34141103. The reversal of 34141101 is 10114143.

34141101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34141101 - 210 = 34140077 is a prime.

It is a super-2 number, since 2×341411012 = 2331229554984402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34141103) 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 in 15 ways as a sum of consecutive naturals, for example, 96541 + ... + 96893.

It is an arithmetic number, because the mean of its divisors is an integer number (2890056).

Almost surely, 234141101 is an apocalyptic number.

It is an amenable number.

34141101 is a deficient number, since it is larger than the sum of its proper divisors (12099795).

34141101 is a wasteful number, since it uses less digits than its factorization.

34141101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 34141101 is about 5843.0386786329. The cubic root of 34141101 is about 324.4087110839.

Adding to 34141101 its reverse (10114143), we get a palindrome (44255244).

The spelling of 34141101 in words is "thirty-four million, one hundred forty-one thousand, one hundred one".

Divisors: 1 3 103 309 313 353 939 1059 32239 36359 96717 109077 110489 331467 11380367 34141101