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131322300 = 223521923039
BaseRepresentation
bin1111101001111…
…01000110111100
3100011002212022220
413310331012330
5232104303200
621010405340
73153135564
oct764750674
9304085286
10131322300
116814542a
1237b90850
132128c605
1413625da4
15b7e04a0
hex7d3d1bc

131322300 has 72 divisors (see below), whose sum is σ = 399974400. Its totient is φ = 33174720.

The previous prime is 131322299. The next prime is 131322313. The reversal of 131322300 is 3223131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131322300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5820 + ... + 17219.

It is an arithmetic number, because the mean of its divisors is an integer number (5555200).

Almost surely, 2131322300 is an apocalyptic number.

131322300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131322300 is an abundant number, since it is smaller than the sum of its proper divisors (268652100).

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

131322300 is a wasteful number, since it uses less digits than its factorization.

131322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23075 (or 23068 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 131322300 is about 11459.5942336542. The cubic root of 131322300 is about 508.2914761438.

Adding to 131322300 its reverse (3223131), we get a palindrome (134545431).

The spelling of 131322300 in words is "one hundred thirty-one million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 23039 46078 69117 92156 115195 138234 230390 276468 345585 437741 460780 575975 691170 875482 1151950 1313223 1382340 1727925 1750964 2188705 2303900 2626446 3455850 4377410 5252892 6566115 6911700 8754820 10943525 13132230 21887050 26264460 32830575 43774100 65661150 131322300