Search a number
-
+
13131100 = 2252131311
BaseRepresentation
bin110010000101…
…110101011100
3220201010111001
4302011311130
511330143400
61145240044
7216420043
oct62056534
926633431
1013131100
117459654
124493024
132949aa8
141a5b55a
151245a6a
hexc85d5c

13131100 has 18 divisors (see below), whose sum is σ = 28494704. Its totient is φ = 5252400.

The previous prime is 13131067. The next prime is 13131103. The reversal of 13131100 is 113131.

13131100 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 (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65556 + ... + 65755.

Almost surely, 213131100 is an apocalyptic number.

13131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131100 is an abundant number, since it is smaller than the sum of its proper divisors (15363604).

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

13131100 is a wasteful number, since it uses less digits than its factorization.

13131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131325 (or 131318 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 13131100 is about 3623.6859687340. The cubic root of 13131100 is about 235.9212367633.

Adding to 13131100 its reverse (113131), we get a palindrome (13244231).

It can be divided in two parts, 13131 and 100, that added together give a palindrome (13231).

The spelling of 13131100 in words is "thirteen million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131311 262622 525244 656555 1313110 2626220 3282775 6565550 13131100