Search a number
-
+
131322510200 = 2352793801793
BaseRepresentation
bin111101001001101101…
…1100111101101111000
3110112222002110201120002
41322103123213231320
54122422030311300
6140155001052132
712326202630140
oct1722333475570
9415862421502
10131322510200
115076a151672
122154b787048
13c4cab9164b
1464dada9920
153638eed5d5
hex1e936e7b78

131322510200 has 48 divisors (see below), whose sum is σ = 348942673680. Its totient is φ = 45024860160.

The previous prime is 131322510133. The next prime is 131322510203. The reversal of 131322510200 is 2015223131.

131322510200 is digitally balanced in base 3, 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131322510203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46899497 + ... + 46902296.

It is an arithmetic number, because the mean of its divisors is an integer number (7269639035).

Almost surely, 2131322510200 is an apocalyptic number.

131322510200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131322510200 is an abundant number, since it is smaller than the sum of its proper divisors (217620163480).

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

131322510200 is a wasteful number, since it uses less digits than its factorization.

131322510200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93801816 (or 93801807 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 131322510200 its reverse (2015223131), we get a palindrome (133337733331).

The spelling of 131322510200 in words is "one hundred thirty-one billion, three hundred twenty-two million, five hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 93801793 187603586 375207172 469008965 656612551 750414344 938017930 1313225102 1876035860 2345044825 2626450204 3283062755 3752071720 4690089650 5252900408 6566125510 9380179300 13132251020 16415313775 18760358600 26264502040 32830627550 65661255100 131322510200