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131323300 = 22521777249
BaseRepresentation
bin1111101001111…
…01010110100100
3100011002220200221
413310331112210
5232104321200
621010414124
73153141523
oct764752644
9304086627
10131323300
1168146159
1237b91344
132128cbc4
14136264ba
15b7e091a
hex7d3d5a4

131323300 has 36 divisors (see below), whose sum is σ = 301738500. Its totient is φ = 49438720.

The previous prime is 131323279. The next prime is 131323303. The reversal of 131323300 is 3323131.

It can be written as a sum of positive squares in 6 ways, for example, as 17089956 + 114233344 = 4134^2 + 10688^2 .

It is not an unprimeable number, because it can be changed into a prime (131323303) 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, 36925 + ... + 40324.

It is an arithmetic number, because the mean of its divisors is an integer number (8381625).

Almost surely, 2131323300 is an apocalyptic number.

131323300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131323300 is an abundant number, since it is smaller than the sum of its proper divisors (170415200).

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

131323300 is a wasteful number, since it uses less digits than its factorization.

131323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77280 (or 77273 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 131323300 is about 11459.6378651334. The cubic root of 131323300 is about 508.2927663288.

Adding to 131323300 its reverse (3323131), we get a palindrome (134646431).

The spelling of 131323300 in words is "one hundred thirty-one million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 77249 154498 308996 386245 772490 1313233 1544980 1931225 2626466 3862450 5252932 6566165 7724900 13132330 26264660 32830825 65661650 131323300