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131403300 = 22352731277
BaseRepresentation
bin1111101010100…
…00111000100100
3100011020222102220
413311100320210
5232114401200
621012232340
73153624000
oct765207044
9304228386
10131403300
11681a0276
123800b6b0
13212ba442
1413647700
15b8094a0
hex7d50e24

131403300 has 144 divisors (see below), whose sum is σ = 443721600. Its totient is φ = 30011520.

The previous prime is 131403299. The next prime is 131403331. The reversal of 131403300 is 3304131.

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 131403300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102262 + ... + 103538.

It is an arithmetic number, because the mean of its divisors is an integer number (3081400).

Almost surely, 2131403300 is an apocalyptic number.

131403300 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 131403300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221860800).

131403300 is an abundant number, since it is smaller than the sum of its proper divisors (312318300).

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

131403300 is a wasteful number, since it uses less digits than its factorization.

131403300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1294 counting only the distinct ones).

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

The square root of 131403300 is about 11463.1278454007. The cubic root of 131403300 is about 508.3959599153.

Adding to 131403300 its reverse (3304131), we get a palindrome (134707431).

The spelling of 131403300 in words is "one hundred thirty-one million, four hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 343 350 420 490 525 588 686 700 735 980 1029 1050 1225 1277 1372 1470 1715 2058 2100 2450 2554 2940 3430 3675 3831 4116 4900 5108 5145 6385 6860 7350 7662 8575 8939 10290 12770 14700 15324 17150 17878 19155 20580 25540 25725 26817 31925 34300 35756 38310 44695 51450 53634 62573 63850 76620 89390 95775 102900 107268 125146 127700 134085 178780 187719 191550 223475 250292 268170 312865 375438 383100 438011 446950 536340 625730 670425 750876 876022 893900 938595 1251460 1314033 1340850 1564325 1752044 1877190 2190055 2628066 2681700 3128650 3754380 4380110 4692975 5256132 6257300 6570165 8760220 9385950 10950275 13140330 18771900 21900550 26280660 32850825 43801100 65701650 131403300