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13171100004 = 2232365863889
BaseRepresentation
bin11000100010000111…
…10000100101100100
31020222220202012112200
430101003300211210
5203433300200004
610014542214500
7644251334316
oct142103604544
936886665480
1013171100004
115649819417
122676b84430
13131b97a8ca
148cd3877b6
1552149d239
hex3110f0964

13171100004 has 18 divisors (see below), whose sum is σ = 33293613990. Its totient is φ = 4390366656.

The previous prime is 13171099999. The next prime is 13171100011. The reversal of 13171100004 is 40000117131.

It can be written as a sum of positive squares in only one way, i.e., 13144163904 + 26936100 = 114648^2 + 5190^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×131711000043 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 13171100004.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 182931909 + ... + 182931980.

Almost surely, 213171100004 is an apocalyptic number.

It is an amenable number.

13171100004 is an abundant number, since it is smaller than the sum of its proper divisors (20122513986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13171100004 is a wasteful number, since it uses less digits than its factorization.

13171100004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365863899 (or 365863894 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 13171100004 its reverse (40000117131), we get a palindrome (53171217135).

The spelling of 13171100004 in words is "thirteen billion, one hundred seventy-one million, one hundred thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 365863889 731727778 1097591667 1463455556 2195183334 3292775001 4390366668 6585550002 13171100004