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131522200 = 235217101383
BaseRepresentation
bin1111101011011…
…01111010011000
3100011111000112121
413311231322120
5232132202300
621014551024
73154630435
oct765557230
9304430477
10131522200
1168271637
1238068474
132132c5b4
1413678b8c
15b82e81a
hex7d6de98

131522200 has 96 divisors (see below), whose sum is σ = 327836160. Its totient is φ = 48896000.

The previous prime is 131522191. The next prime is 131522213. The reversal of 131522200 is 2225131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343209 + ... + 343591.

It is an arithmetic number, because the mean of its divisors is an integer number (3414960).

Almost surely, 2131522200 is an apocalyptic number.

131522200 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 131522200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163918080).

131522200 is an abundant number, since it is smaller than the sum of its proper divisors (196313960).

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

131522200 is a wasteful number, since it uses less digits than its factorization.

131522200 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 131522200 is about 11468.3128663287. The cubic root of 131522200 is about 508.5492540274.

Adding to 131522200 its reverse (2225131), we get a palindrome (133747331).

The spelling of 131522200 in words is "one hundred thirty-one million, five hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 101 136 170 200 202 340 383 404 425 505 680 766 808 850 1010 1532 1700 1717 1915 2020 2525 3064 3400 3434 3830 4040 5050 6511 6868 7660 8585 9575 10100 13022 13736 15320 17170 19150 20200 26044 32555 34340 38300 38683 42925 52088 65110 68680 76600 77366 85850 130220 154732 162775 171700 193415 260440 309464 325550 343400 386830 651100 657611 773660 967075 1302200 1315222 1547320 1934150 2630444 3288055 3868300 5260888 6576110 7736600 13152220 16440275 26304440 32880550 65761100 131522200