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131442200 = 23521813631
BaseRepresentation
bin1111101010110…
…10011000011000
3100011022221210122
413311122120120
5232122122300
621013132412
73154145261
oct765323030
9304287718
10131442200
116821751a
123802a108
1321302066
1413657968
15b815c85
hex7d5a618

131442200 has 48 divisors (see below), whose sum is σ = 307376160. Its totient is φ = 52272000.

The previous prime is 131442197. The next prime is 131442253. The reversal of 131442200 is 2244131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34385 + ... + 38015.

It is an arithmetic number, because the mean of its divisors is an integer number (6403670).

Almost surely, 2131442200 is an apocalyptic number.

131442200 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 131442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153688080).

131442200 is an abundant number, since it is smaller than the sum of its proper divisors (175933960).

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

131442200 is a wasteful number, since it uses less digits than its factorization.

131442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 131442200 is about 11464.8244644216. The cubic root of 131442200 is about 508.4461226627.

Adding to 131442200 its reverse (2244131), we get a palindrome (133686331).

The spelling of 131442200 in words is "one hundred thirty-one million, four hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 181 200 362 724 905 1448 1810 3620 3631 4525 7240 7262 9050 14524 18100 18155 29048 36200 36310 72620 90775 145240 181550 363100 657211 726200 1314422 2628844 3286055 5257688 6572110 13144220 16430275 26288440 32860550 65721100 131442200