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131203300 = 225210912037
BaseRepresentation
bin1111101001000…
…00000011100100
3100010212211002111
413310200003210
5232042001200
621004050404
73152131624
oct764400344
9303784074
10131203300
1168073a88
1237b33a04
132124a3b7
14135d4884
15b7ba0ba
hex7d200e4

131203300 has 36 divisors (see below), whose sum is σ = 287347060. Its totient is φ = 51995520.

The previous prime is 131203217. The next prime is 131203301. The reversal of 131203300 is 3302131.

It can be written as a sum of positive squares in 6 ways, for example, as 18800896 + 112402404 = 4336^2 + 10602^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131203301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4882 + ... + 16918.

Almost surely, 2131203300 is an apocalyptic number.

131203300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143673530).

131203300 is an abundant number, since it is smaller than the sum of its proper divisors (156143760).

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

131203300 is a wasteful number, since it uses less digits than its factorization.

131203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12160 (or 12153 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 131203300 is about 11454.4009009638. The cubic root of 131203300 is about 508.1378973400.

Adding to 131203300 its reverse (3302131), we get a palindrome (134505431).

The spelling of 131203300 in words is "one hundred thirty-one million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 2180 2725 5450 10900 12037 24074 48148 60185 120370 240740 300925 601850 1203700 1312033 2624066 5248132 6560165 13120330 26240660 32800825 65601650 131203300