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13230100 = 22521310177
BaseRepresentation
bin110010011110…
…000000010100
3220220011021201
4302132000110
511341330400
61151322244
7220311502
oct62360024
926804251
1013230100
117516a74
124520384
132982b80
141a85672
15126506a
hexc9e014

13230100 has 36 divisors (see below), whose sum is σ = 30920764. Its totient is φ = 4884480.

The previous prime is 13230079. The next prime is 13230109. The reversal of 13230100 is 103231.

It can be written as a sum of positive squares in 6 ways, for example, as 853776 + 12376324 = 924^2 + 3518^2 .

It is a super-3 number, since 3×132301003 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13230109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3789 + ... + 6388.

Almost surely, 213230100 is an apocalyptic number.

13230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13230100 is an abundant number, since it is smaller than the sum of its proper divisors (17690664).

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

13230100 is a wasteful number, since it uses less digits than its factorization.

13230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10204 (or 10197 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 13230100 is about 3637.3204423036. The cubic root of 13230100 is about 236.5126507900.

Adding to 13230100 its reverse (103231), we get a palindrome (13333331).

The spelling of 13230100 in words is "thirteen million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 10177 20354 40708 50885 101770 132301 203540 254425 264602 508850 529204 661505 1017700 1323010 2646020 3307525 6615050 13230100