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3131300200 = 235272299767
BaseRepresentation
bin1011101010100011…
…1101100101101000
322002020002112100111
42322220331211220
522403103101300
61234414344104
7140411420050
oct27250754550
98066075314
103131300200
1113675a0206
127347bb034
133ab966a72
14219c24560
15134d7c9ba
hexbaa3d968

3131300200 has 96 divisors (see below), whose sum is σ = 8357500800. Its totient is φ = 1068791040.

The previous prime is 3131300191. The next prime is 3131300203. The reversal of 3131300200 is 20031313.

It is not an unprimeable number, because it can be changed into a prime (3131300203) by changing a digit.

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, 315717 + ... + 325483.

It is an arithmetic number, because the mean of its divisors is an integer number (87057300).

Almost surely, 23131300200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178750400).

3131300200 is an abundant number, since it is smaller than the sum of its proper divisors (5226200600).

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

3131300200 is a wasteful number, since it uses less digits than its factorization.

3131300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10019 (or 10010 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 3131300200 is about 55958.0217663205. The cubic root of 3131300200 is about 1462.9907107328.

Adding to 3131300200 its reverse (20031313), we get a palindrome (3151331513).

The spelling of 3131300200 in words is "three billion, one hundred thirty-one million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 229 280 350 458 700 916 1145 1400 1603 1832 2290 3206 4580 5725 6412 8015 9160 9767 11450 12824 16030 19534 22900 32060 39068 40075 45800 48835 64120 68369 78136 80150 97670 136738 160300 195340 244175 273476 320600 341845 390680 488350 546952 683690 976700 1367380 1709225 1953400 2236643 2734760 3418450 4473286 6836900 8946572 11183215 13673800 15656501 17893144 22366430 31313002 44732860 55916075 62626004 78282505 89465720 111832150 125252008 156565010 223664300 313130020 391412525 447328600 626260040 782825050 1565650100 3131300200