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200230311300 = 2235231167128923
BaseRepresentation
bin1011101001111010101…
…0000001010110000100
3201010211101122201012120
42322132222001112010
511240032424430200
6231552354245540
720315615364345
oct2723652012604
9633741581176
10200230311300
1177a0a877518
12329808868b0
1315b5cc5a056
1499969140cc
15531d7b99a0
hex2e9ea81584

200230311300 has 144 divisors (see below), whose sum is σ = 601606828032. Its totient is φ = 51362524800.

The previous prime is 200230311299. The next prime is 200230311313. The reversal of 200230311300 is 3113032002.

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 200230311300.

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 47 ways as a sum of consecutive naturals, for example, 1488639 + ... + 1617561.

Almost surely, 2200230311300 is an apocalyptic number.

200230311300 is a gapful number since it is divisible by the number (20) 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 200230311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300803414016).

200230311300 is an abundant number, since it is smaller than the sum of its proper divisors (401376516732).

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

200230311300 is a wasteful number, since it uses less digits than its factorization.

200230311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129138 (or 129131 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 200230311300 its reverse (3113032002), we get a palindrome (203343343302).

The spelling of 200230311300 in words is "two hundred billion, two hundred thirty million, three hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 167 186 300 310 334 372 465 501 620 668 775 835 930 1002 1550 1670 1860 2004 2325 2505 3100 3340 4175 4650 5010 5177 8350 9300 10020 10354 12525 15531 16700 20708 25050 25885 31062 50100 51770 62124 77655 103540 128923 129425 155310 257846 258850 310620 386769 388275 515692 517700 644615 773538 776550 1289230 1547076 1553100 1933845 2578460 3223075 3867690 3996613 6446150 7735380 7993226 9669225 11989839 12892300 15986452 19338450 19983065 21530141 23979678 38676900 39966130 43060282 47959356 59949195 64590423 79932260 86120564 99915325 107650705 119898390 129180846 199830650 215301410 239796780 258361692 299745975 322952115 399661300 430602820 538253525 599491950 645904230 667434371 1076507050 1198983900 1291808460 1334868742 1614760575 2002303113 2153014100 2669737484 3229521150 3337171855 4004606226 6459042300 6674343710 8009212452 10011515565 13348687420 16685859275 20023031130 33371718550 40046062260 50057577825 66743437100 100115155650 200230311300