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31313300200 = 23527132132347
BaseRepresentation
bin11101001010011010…
…110000101011101000
32222211021111110120021
4131022122300223220
51003112201101300
622215104410224
72155654442260
oct351232605350
988737443507
1031313300200
11123095a59a6
12609a916974
132c504a8b00
141730a2c7a0
15c34094d1a
hex74a6b0ae8

31313300200 has 144 divisors (see below), whose sum is σ = 90097224480. Its totient is φ = 9910068480.

The previous prime is 31313300149. The next prime is 31313300203. The reversal of 31313300200 is 200331313.

It is not an unprimeable number, because it can be changed into a prime (31313300203) 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 35 ways as a sum of consecutive naturals, for example, 170427 + ... + 302773.

It is an arithmetic number, because the mean of its divisors is an integer number (625675170).

Almost surely, 231313300200 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 31313300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45048612240).

31313300200 is an abundant number, since it is smaller than the sum of its proper divisors (58783924280).

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

31313300200 is a wasteful number, since it uses less digits than its factorization.

31313300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132396 (or 132374 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 31313300200 its reverse (200331313), we get a palindrome (31513631513).

The spelling of 31313300200 in words is "thirty-one billion, three hundred thirteen million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 169 175 182 200 260 280 325 338 350 364 455 520 650 676 700 728 845 910 1183 1300 1352 1400 1690 1820 2275 2366 2600 3380 3640 4225 4550 4732 5915 6760 8450 9100 9464 11830 16900 18200 23660 29575 33800 47320 59150 118300 132347 236600 264694 529388 661735 926429 1058776 1323470 1720511 1852858 2646940 3308675 3441022 3705716 4632145 5293880 6617350 6882044 7411432 8602555 9264290 12043577 13234700 13764088 17205110 18528580 22366643 23160725 24087154 26469400 34410220 37057160 43012775 44733286 46321450 48174308 60217885 68820440 86025550 89466572 92642900 96348616 111833215 120435770 156566501 172051100 178933144 185285800 223666430 240871540 301089425 313133002 344102200 447332860 481743080 559166075 602178850 626266004 782832505 894665720 1118332150 1204357700 1252532008 1565665010 2236664300 2408715400 3131330020 3914162525 4473328600 6262660040 7828325050 15656650100 31313300200