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131332300 = 2252112329179
BaseRepresentation
bin1111101001111…
…11100011001100
3100011010101001021
413310333203030
5232110113200
621010523524
73153210001
oct764774314
9304111037
10131332300
11681519a0
1237b965a4
1321294028
14136298a8
15b7e341a
hex7d3f8cc

131332300 has 144 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 43859200.

The previous prime is 131332297. The next prime is 131332319. The reversal of 131332300 is 3233131.

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 47 ways as a sum of consecutive naturals, for example, 733611 + ... + 733789.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2131332300 is an apocalyptic number.

131332300 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 131332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

131332300 is an abundant number, since it is smaller than the sum of its proper divisors (206146100).

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

131332300 is a wasteful number, since it uses less digits than its factorization.

131332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 249 counting only the distinct ones).

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

The square root of 131332300 is about 11460.0305409715. The cubic root of 131332300 is about 508.3043776991.

Adding to 131332300 its reverse (3233131), we get a palindrome (134565431).

The spelling of 131332300 in words is "one hundred thirty-one million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 29 44 46 50 55 58 92 100 110 115 116 145 179 220 230 253 275 290 319 358 460 506 550 575 580 638 667 716 725 895 1012 1100 1150 1265 1276 1334 1450 1595 1790 1969 2300 2530 2668 2900 3190 3335 3580 3938 4117 4475 5060 5191 6325 6380 6670 7337 7876 7975 8234 8950 9845 10382 12650 13340 14674 15950 16468 16675 17900 19690 20585 20764 25300 25955 29348 31900 33350 36685 39380 41170 45287 49225 51910 57101 66700 73370 82340 90574 98450 102925 103820 114202 119393 129775 146740 181148 183425 196900 205850 226435 228404 238786 259550 285505 366850 411700 452870 477572 519100 571010 596965 733700 905740 1132175 1142020 1193930 1313323 1427525 2264350 2387860 2626646 2855050 2984825 4528700 5253292 5710100 5969650 6566615 11939300 13133230 26266460 32833075 65666150 131332300