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131130300 = 223527411523
BaseRepresentation
bin1111101000011…
…10001110111100
3100010202002221210
413310032032330
5232032132200
621002324420
73151406040
oct764161674
9303662853
10131130300
1168024154
1237ab9710
13212230c2
14135b6020
15b7a3650
hex7d0e3bc

131130300 has 144 divisors (see below), whose sum is σ = 444471552. Its totient is φ = 29222400.

The previous prime is 131130287. The next prime is 131130313. The reversal of 131130300 is 3031131.

It is an interprime number because it is at equal distance from previous prime (131130287) and next prime (131130313).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85339 + ... + 86861.

It is an arithmetic number, because the mean of its divisors is an integer number (3086608).

Almost surely, 2131130300 is an apocalyptic number.

131130300 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 131130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222235776).

131130300 is an abundant number, since it is smaller than the sum of its proper divisors (313341252).

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

131130300 is a wasteful number, since it uses less digits than its factorization.

131130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 131130300 is about 11451.2139094508. The cubic root of 131130300 is about 508.0436391717.

Adding to 131130300 its reverse (3031131), we get a palindrome (134161431).

The spelling of 131130300 in words is "one hundred thirty-one million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 41 42 50 60 70 75 82 84 100 105 123 140 150 164 175 205 210 246 287 300 350 410 420 492 525 574 615 700 820 861 1025 1050 1148 1230 1435 1523 1722 2050 2100 2460 2870 3046 3075 3444 4100 4305 4569 5740 6092 6150 7175 7615 8610 9138 10661 12300 14350 15230 17220 18276 21322 21525 22845 28700 30460 31983 38075 42644 43050 45690 53305 62443 63966 76150 86100 91380 106610 114225 124886 127932 152300 159915 187329 213220 228450 249772 266525 312215 319830 374658 437101 456900 533050 624430 639660 749316 799575 874202 936645 1066100 1248860 1311303 1561075 1599150 1748404 1873290 2185505 2622606 3122150 3198300 3746580 4371010 4683225 5245212 6244300 6556515 8742020 9366450 10927525 13113030 18732900 21855050 26226060 32782575 43710100 65565150 131130300