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13132011300 = 2235243773371
BaseRepresentation
bin11000011101011101…
…01001011100100100
31020220012012021220220
430032232221130210
5203343243330200
610011024324340
7643265153142
oct141656513444
936805167826
1013132011300
115629750501
122665a736b0
131313842ab5
148c80d0592
1551cd2b4a0
hex30eba9724

13132011300 has 36 divisors (see below), whose sum is σ = 37995286896. Its totient is φ = 3501869600.

The previous prime is 13132011287. The next prime is 13132011307. The reversal of 13132011300 is 311023131.

13132011300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13132011300.

It is not an unprimeable number, because it can be changed into a prime (13132011307) 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 11 ways as a sum of consecutive naturals, for example, 21886386 + ... + 21886985.

It is an arithmetic number, because the mean of its divisors is an integer number (1055424636).

Almost surely, 213132011300 is an apocalyptic number.

13132011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132011300 is an abundant number, since it is smaller than the sum of its proper divisors (24863275596).

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

13132011300 is a wasteful number, since it uses less digits than its factorization.

13132011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43773388 (or 43773381 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13132011300 its reverse (311023131), we get a palindrome (13443034431).

The spelling of 13132011300 in words is "thirteen billion, one hundred thirty-two million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 43773371 87546742 131320113 175093484 218866855 262640226 437733710 525280452 656600565 875467420 1094334275 1313201130 2188668550 2626402260 3283002825 4377337100 6566005650 13132011300