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131342200 = 235211227263
BaseRepresentation
bin1111101010000…
…01111101111000
3100011010212121221
413311001331320
5232110422300
621011041424
73153250603
oct765017570
9304125557
10131342200
1168159380
1237ba0274
13212986a2
141362d33a
15b7e631a
hex7d41f78

131342200 has 96 divisors (see below), whose sum is σ = 335871360. Its totient is φ = 47369600.

The previous prime is 131342191. The next prime is 131342203. The reversal of 131342200 is 2243131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131342203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499269 + ... + 499531.

It is an arithmetic number, because the mean of its divisors is an integer number (3498660).

Almost surely, 2131342200 is an apocalyptic number.

131342200 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 131342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167935680).

131342200 is an abundant number, since it is smaller than the sum of its proper divisors (204529160).

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

131342200 is a wasteful number, since it uses less digits than its factorization.

131342200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 131342200 is about 11460.4624688535. The cubic root of 131342200 is about 508.3171495938.

Adding to 131342200 its reverse (2243131), we get a palindrome (133585331).

The spelling of 131342200 in words is "one hundred thirty-one million, three hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 227 263 275 440 454 526 550 908 1052 1100 1135 1315 1816 2104 2200 2270 2497 2630 2893 4540 4994 5260 5675 5786 6575 9080 9988 10520 11350 11572 12485 13150 14465 19976 22700 23144 24970 26300 28930 45400 49940 52600 57860 59701 62425 72325 99880 115720 119402 124850 144650 238804 249700 289300 298505 477608 499400 578600 597010 656711 1194020 1313422 1492525 2388040 2626844 2985050 3283555 5253688 5970100 6567110 11940200 13134220 16417775 26268440 32835550 65671100 131342200