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13243100 = 22521361167
BaseRepresentation
bin110010100001…
…001011011100
3220220211010012
4302201023130
511342234400
61151502352
7220364423
oct62411334
926824105
1013243100
117525812
1245279b8
132988a70
141a8a2ba
151268d35
hexca12dc

13243100 has 72 divisors (see below), whose sum is σ = 31643808. Its totient is φ = 4780800.

The previous prime is 13243091. The next prime is 13243121. The reversal of 13243100 is 134231.

It is a super-2 number, since 2×132431002 = 350759395220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79217 + ... + 79383.

Almost surely, 213243100 is an apocalyptic number.

13243100 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 13243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821904).

13243100 is an abundant number, since it is smaller than the sum of its proper divisors (18400708).

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

13243100 is a wasteful number, since it uses less digits than its factorization.

13243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13243100 is about 3639.1070333256. The cubic root of 13243100 is about 236.5900918259.

Adding to 13243100 its reverse (134231), we get a palindrome (13377331).

The spelling of 13243100 in words is "thirteen million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 61 65 100 122 130 167 244 260 305 325 334 610 650 668 793 835 1220 1300 1525 1586 1670 2171 3050 3172 3340 3965 4175 4342 6100 7930 8350 8684 10187 10855 15860 16700 19825 20374 21710 39650 40748 43420 50935 54275 79300 101870 108550 132431 203740 217100 254675 264862 509350 529724 662155 1018700 1324310 2648620 3310775 6621550 13243100