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34101171161 = 281829146389
BaseRepresentation
bin11111110000100101…
…101001001111011001
310021000120100222120022
4133300211221033121
51024314344434121
623355454240225
72315026113041
oct376045511731
9107016328508
1034101171161
111350a249692
1267384b6075
1332a5c4a3b5
141916db6721
15d48bd5aab
hex7f09693d9

34101171161 has 8 divisors (see below), whose sum is σ = 34264043400. Its totient is φ = 33938593920.

The previous prime is 34101171067. The next prime is 34101171187. The reversal of 34101171161 is 16117110143.

It can be written as a sum of positive squares in 4 ways, for example, as 9395618761 + 24705552400 = 96931^2 + 157180^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34101171161 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34101171161.

It is not an unprimeable number, because it can be changed into a prime (34101171961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159755 + ... + 306143.

It is an arithmetic number, because the mean of its divisors is an integer number (4283005425).

Almost surely, 234101171161 is an apocalyptic number.

It is an amenable number.

34101171161 is a deficient number, since it is larger than the sum of its proper divisors (162872239).

34101171161 is a wasteful number, since it uses less digits than its factorization.

34101171161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147499.

The product of its (nonzero) digits is 504, while the sum is 26.

The spelling of 34101171161 in words is "thirty-four billion, one hundred one million, one hundred seventy-one thousand, one hundred sixty-one".

Divisors: 1 281 829 146389 232949 41135309 121356481 34101171161