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13140532300 = 2252745741077
BaseRepresentation
bin11000011110011110…
…01001110001001100
31020220210020012112111
430033033021301030
5203402434013200
610011531113404
7643430452540
oct141717116114
936823205474
1013140532300
115633540455
1226688a2864
1313155373cc
148c92aba20
1551d9610ba
hex30f3c9c4c

13140532300 has 72 divisors (see below), whose sum is σ = 32660624864. Its totient is φ = 4495357440.

The previous prime is 13140532219. The next prime is 13140532303. The reversal of 13140532300 is 323504131.

13140532300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13140532303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299362 + ... + 340438.

Almost surely, 213140532300 is an apocalyptic number.

13140532300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13140532300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16330312432).

13140532300 is an abundant number, since it is smaller than the sum of its proper divisors (19520092564).

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

13140532300 is a wasteful number, since it uses less digits than its factorization.

13140532300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41555 (or 41548 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The spelling of 13140532300 in words is "thirteen billion, one hundred forty million, five hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 457 700 914 1828 2285 3199 4570 6398 9140 11425 12796 15995 22850 31990 41077 45700 63980 79975 82154 159950 164308 205385 287539 319900 410770 575078 821540 1026925 1150156 1437695 2053850 2875390 4107700 5750780 7188475 14376950 18772189 28753900 37544378 75088756 93860945 131405323 187721890 262810646 375443780 469304725 525621292 657026615 938609450 1314053230 1877218900 2628106460 3285133075 6570266150 13140532300