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212021031200 = 25521159408361
BaseRepresentation
bin1100010101110101110…
…0000011000100100000
3202021021002222100020012
43011131130003010200
511433204340444300
6241222350304052
721214036013126
oct3053534030440
9667232870205
10212021031200
1181a10387930
12351114b8028
1316cbb9385a4
14a394815916
1557ad99b435
hex315d703120

212021031200 has 144 divisors (see below), whose sum is σ = 574222309920. Its totient is φ = 75791616000.

The previous prime is 212021031199. The next prime is 212021031223. The reversal of 212021031200 is 2130120212.

It is a happy number.

It is a super-2 number, since 2×2120210312002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315020 + ... + 723380.

It is an arithmetic number, because the mean of its divisors is an integer number (3987654930).

Almost surely, 2212021031200 is an apocalyptic number.

212021031200 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 212021031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287111154960).

212021031200 is an abundant number, since it is smaller than the sum of its proper divisors (362201278720).

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

212021031200 is a wasteful number, since it uses less digits than its factorization.

212021031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408451 (or 408438 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 212021031200 its reverse (2130120212), we get a palindrome (214151151412).

The spelling of 212021031200 in words is "two hundred twelve billion, twenty-one million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 59 80 88 100 110 118 160 176 200 220 236 275 295 352 400 440 472 550 590 649 800 880 944 1100 1180 1298 1475 1760 1888 2200 2360 2596 2950 3245 4400 4720 5192 5900 6490 8800 9440 10384 11800 12980 16225 20768 23600 25960 32450 47200 51920 64900 103840 129800 259600 408361 519200 816722 1633444 2041805 3266888 4083610 4491971 6533776 8167220 8983942 10209025 13067552 16334440 17967884 20418050 22459855 24093299 32668880 35935768 40836100 44919710 48186598 65337760 71871536 81672200 89839420 96373196 112299275 120466495 143743072 163344400 179678840 192746392 224598550 240932990 265026289 326688800 359357680 385492784 449197100 481865980 530052578 602332475 718715360 770985568 898394200 963731960 1060105156 1204664950 1325131445 1796788400 1927463920 2120210312 2409329900 2650262890 3593576800 3854927840 4240420624 4818659800 5300525780 6625657225 8480841248 9637319600 10601051560 13251314450 19274639200 21202103120 26502628900 42404206240 53005257800 106010515600 212021031200