Search a number
-
+
131311300 = 22522814673
BaseRepresentation
bin1111101001110…
…10011011000100
3100011002022020111
413310322123010
5232103430200
621010242404
73153061531
oct764723304
9304068214
10131311300
116813813a
1237b86404
13212875c3
1413621d88
15b7dc0ba
hex7d3a6c4

131311300 has 36 divisors (see below), whose sum is σ = 286020756. Its totient is φ = 52326400.

The previous prime is 131311291. The next prime is 131311303. The reversal of 131311300 is 3113131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7300804 + 124010496 = 2702^2 + 11136^2 .

It is not an unprimeable number, because it can be changed into a prime (131311303) 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, 25764 + ... + 30436.

It is an arithmetic number, because the mean of its divisors is an integer number (7945021).

Almost surely, 2131311300 is an apocalyptic number.

131311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131311300 is an abundant number, since it is smaller than the sum of its proper divisors (154709456).

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

131311300 is a wasteful number, since it uses less digits than its factorization.

131311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 131311300 is about 11459.1142764177. The cubic root of 131311300 is about 508.2772836765.

Adding to 131311300 its reverse (3113131), we get a palindrome (134424431).

The spelling of 131311300 in words is "one hundred thirty-one million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 281 562 1124 1405 2810 4673 5620 7025 9346 14050 18692 23365 28100 46730 93460 116825 233650 467300 1313113 2626226 5252452 6565565 13131130 26262260 32827825 65655650 131311300