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131131300200 = 23352991220537
BaseRepresentation
bin111101000100000001…
…0001101100101101000
3110112110202200020202020
41322020002031211220
54122024103101300
6140124010504440
712321361442445
oct1721002154550
9415422606666
10131131300200
115068122277a
12214b7735120
13c49a394234
1464bd8349cc
15362732d8a0
hex1e8808d968

131131300200 has 96 divisors (see below), whose sum is σ = 406919074560. Its totient is φ = 34932902400.

The previous prime is 131131300199. The next prime is 131131300207. The reversal of 131131300200 is 2003131131.

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 131131300200.

It is not an unprimeable number, because it can be changed into a prime (131131300207) 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, 484332 + ... + 704868.

It is an arithmetic number, because the mean of its divisors is an integer number (4238740360).

Almost surely, 2131131300200 is an apocalyptic number.

131131300200 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 131131300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203459537280).

131131300200 is an abundant number, since it is smaller than the sum of its proper divisors (275787774360).

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

131131300200 is a wasteful number, since it uses less digits than its factorization.

131131300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221547 (or 221538 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131131300200 its reverse (2003131131), we get a palindrome (133134431331).

The spelling of 131131300200 in words is "one hundred thirty-one billion, one hundred thirty-one million, three hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 991 1982 2973 3964 4955 5946 7928 9910 11892 14865 19820 23784 24775 29730 39640 49550 59460 74325 99100 118920 148650 198200 220537 297300 441074 594600 661611 882148 1102685 1323222 1764296 2205370 2646444 3308055 4410740 5292888 5513425 6616110 8821480 11026850 13232220 16540275 22053700 26464440 33080550 44107400 66161100 132322200 218552167 437104334 655656501 874208668 1092760835 1311313002 1748417336 2185521670 2622626004 3278282505 4371043340 5245252008 5463804175 6556565010 8742086680 10927608350 13113130020 16391412525 21855216700 26226260040 32782825050 43710433400 65565650100 131131300200