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212203111200 = 25352194653577
BaseRepresentation
bin1100010110100001001…
…0101000001100100000
3202021201210120222000220
43011220102220030200
511434042444024300
6241252413043040
721221406453453
oct3055022501440
9667653528026
10212203111200
1181aa4140273
1235162486480
131701a58a132
14a3b0a9149a
1557be965da0
hex31684a8320

212203111200 has 144 divisors (see below), whose sum is σ = 727075026720. Its totient is φ = 53609195520.

The previous prime is 212203111193. The next prime is 212203111223. The reversal of 212203111200 is 2111302212.

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 212203111200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2281189 + ... + 2372388.

It is an arithmetic number, because the mean of its divisors is an integer number (5049132130).

Almost surely, 2212203111200 is an apocalyptic number.

212203111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212203111200 is an abundant number, since it is smaller than the sum of its proper divisors (514871915520).

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

212203111200 is a wasteful number, since it uses less digits than its factorization.

212203111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653619 (or 4653606 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212203111200 its reverse (2111302212), we get a palindrome (214314413412).

The spelling of 212203111200 in words is "two hundred twelve billion, two hundred three million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 75 76 80 95 96 100 114 120 150 152 160 190 200 228 240 285 300 304 380 400 456 475 480 570 600 608 760 800 912 950 1140 1200 1425 1520 1824 1900 2280 2400 2850 3040 3800 4560 5700 7600 9120 11400 15200 22800 45600 4653577 9307154 13960731 18614308 23267885 27921462 37228616 46535770 55842924 69803655 74457232 88417963 93071540 111685848 116339425 139607310 148914464 176835926 186143080 223371696 232678850 265253889 279214620 349018275 353671852 372286160 442089815 446743392 465357700 530507778 558429240 698036550 707343704 744572320 884179630 930715400 1061015556 1116858480 1326269445 1396073100 1414687408 1768359260 1861430800 2122031112 2210449075 2233716960 2652538890 2792146200 2829374816 3536718520 3722861600 4244062224 4420898150 5305077780 5584292400 6631347225 7073437040 8488124448 8841796300 10610155560 11168584800 13262694450 14146874080 17683592600 21220311120 26525388900 35367185200 42440622240 53050777800 70734370400 106101555600 212203111200