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212020311300 = 223527199507347
BaseRepresentation
bin1100010101110101100…
…1010011010100000100
3202021021001121202201020
43011131121103110010
511433204144430200
6241222323031140
721214026624240
oct3053531232404
9667231552636
10212020311300
1181a0aa35a76
123511120b4b0
1316cbb745a05
14a3946a9420
1557ad8a7ea0
hex315d653504

212020311300 has 144 divisors (see below), whose sum is σ = 704604902400. Its totient is φ = 48218163840.

The previous prime is 212020311287. The next prime is 212020311319. The reversal of 212020311300 is 3113020212.

It is a super-2 number, since 2×2120203113002 (a number of 23 digits) contains 22 as substring.

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 212020311300.

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, 164227 + ... + 671573.

It is an arithmetic number, because the mean of its divisors is an integer number (4893089600).

Almost surely, 2212020311300 is an apocalyptic number.

212020311300 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 212020311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352302451200).

212020311300 is an abundant number, since it is smaller than the sum of its proper divisors (492584591100).

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

212020311300 is a wasteful number, since it uses less digits than its factorization.

212020311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507570 (or 507563 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212020311300 its reverse (3113020212), we get a palindrome (215133331512).

The spelling of 212020311300 in words is "two hundred twelve billion, twenty million, three hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 199 210 300 350 398 420 525 597 700 796 995 1050 1194 1393 1990 2100 2388 2786 2985 3980 4179 4975 5572 5970 6965 8358 9950 11940 13930 14925 16716 19900 20895 27860 29850 34825 41790 59700 69650 83580 104475 139300 208950 417900 507347 1014694 1522041 2029388 2536735 3044082 3551429 5073470 6088164 7102858 7610205 10146940 10654287 12683675 14205716 15220410 17757145 21308574 25367350 30440820 35514290 38051025 42617148 50734700 53271435 71028580 76102050 88785725 100962053 106542870 152204100 177571450 201924106 213085740 266357175 302886159 355142900 403848212 504810265 532714350 605772318 706734371 1009620530 1065428700 1211544636 1413468742 1514430795 2019241060 2120203113 2524051325 2826937484 3028861590 3533671855 4240406226 5048102650 6057723180 7067343710 7572153975 8480812452 10096205300 10601015565 14134687420 15144307950 17668359275 21202031130 30288615900 35336718550 42404062260 53005077825 70673437100 106010155650 212020311300