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131242200 = 23352218737
BaseRepresentation
bin1111101001010…
…01100011011000
3100010221210110020
413310221203120
5232044222300
621004550440
73152353215
oct764514330
9303853406
10131242200
11680a0231
1237b52420
132126200b
1413604b0c
15b7c68a0
hex7d298d8

131242200 has 48 divisors (see below), whose sum is σ = 406852680. Its totient is φ = 34997760.

The previous prime is 131242187. The next prime is 131242201. The reversal of 131242200 is 2242131.

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 131242200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131242201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108769 + ... + 109968.

Almost surely, 2131242200 is an apocalyptic number.

131242200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131242200 is an abundant number, since it is smaller than the sum of its proper divisors (275610480).

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

131242200 is a wasteful number, since it uses less digits than its factorization.

131242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218756 (or 218747 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 131242200 is about 11456.0988124230. The cubic root of 131242200 is about 508.1881110441.

Adding to 131242200 its reverse (2242131), we get a palindrome (133484331).

The spelling of 131242200 in words is "one hundred thirty-one million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 218737 437474 656211 874948 1093685 1312422 1749896 2187370 2624844 3281055 4374740 5249688 5468425 6562110 8749480 10936850 13124220 16405275 21873700 26248440 32810550 43747400 65621100 131242200