Search a number
-
+
13303100 = 2252151881
BaseRepresentation
bin110010101111…
…110100111100
3221000212102102
4302233310330
511401144400
61153044232
7221034356
oct62576474
927025372
1013303100
1175668a8
124556678
1329aa175
141aa40d6
15127b9d5
hexcafd3c

13303100 has 36 divisors (see below), whose sum is σ = 29091888. Its totient is φ = 5280000.

The previous prime is 13303093. The next prime is 13303109. The reversal of 13303100 is 130331.

It is a super-2 number, since 2×133031002 = 353944939220000, which contains 22 as substring.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303109) 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, 14660 + ... + 15540.

It is an arithmetic number, because the mean of its divisors is an integer number (808108).

Almost surely, 213303100 is an apocalyptic number.

13303100 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 13303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545944).

13303100 is an abundant number, since it is smaller than the sum of its proper divisors (15788788).

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

13303100 is a wasteful number, since it uses less digits than its factorization.

13303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 13303100 is about 3647.3414975842. The cubic root of 13303100 is about 236.9468567605.

Adding to 13303100 its reverse (130331), we get a palindrome (13433431).

The spelling of 13303100 in words is "thirteen million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 604 755 881 1510 1762 3020 3524 3775 4405 7550 8810 15100 17620 22025 44050 88100 133031 266062 532124 665155 1330310 2660620 3325775 6651550 13303100