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13030100 = 2252229569
BaseRepresentation
bin110001101101…
…001011010100
3220111222221022
4301231023110
511313430400
61143140312
7215516426
oct61551324
926458838
1013030100
11739a786
124444698
132912b25
141a32816
151225b85
hexc6d2d4

13030100 has 36 divisors (see below), whose sum is σ = 28448700. Its totient is φ = 5180160.

The previous prime is 13030097. The next prime is 13030117. The reversal of 13030100 is 103031.

13030100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 55696 + 12974404 = 236^2 + 3602^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22616 + ... + 23184.

Almost surely, 213030100 is an apocalyptic number.

13030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13030100 is an abundant number, since it is smaller than the sum of its proper divisors (15418600).

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

13030100 is a wasteful number, since it uses less digits than its factorization.

13030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 13030100 is about 3609.7229810610. The cubic root of 13030100 is about 235.3148036960.

Adding to 13030100 its reverse (103031), we get a palindrome (13133131).

The spelling of 13030100 in words is "thirteen million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 229 458 569 916 1138 1145 2276 2290 2845 4580 5690 5725 11380 11450 14225 22900 28450 56900 130301 260602 521204 651505 1303010 2606020 3257525 6515050 13030100