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220121213200 = 24527107734717
BaseRepresentation
bin1100110100000000111…
…1110010100100010000
3210001011121220012222221
43031000033302210100
512101302012310300
6245042225310424
721621544304110
oct3150017624420
9701147805887
10220121213200
1185397760519
12367b2195414
13179acb56ca5
14a92251b040
155ad4b8531a
hex33403f2910

220121213200 has 120 divisors (see below), whose sum is σ = 610039294272. Its totient is φ = 74764700160.

The previous prime is 220121213189. The next prime is 220121213293. The reversal of 220121213200 is 2312121022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 67759 + ... + 666958.

Almost surely, 2220121213200 is an apocalyptic number.

220121213200 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 220121213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305019647136).

220121213200 is an abundant number, since it is smaller than the sum of its proper divisors (389918081072).

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

220121213200 is a wasteful number, since it uses less digits than its factorization.

220121213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734849 (or 734838 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 220121213200 its reverse (2312121022), we get a palindrome (222433334222).

The spelling of 220121213200 in words is "two hundred twenty billion, one hundred twenty-one million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 107 112 140 175 200 214 280 350 400 428 535 560 700 749 856 1070 1400 1498 1712 2140 2675 2800 2996 3745 4280 5350 5992 7490 8560 10700 11984 14980 18725 21400 29960 37450 42800 59920 74900 149800 299600 734717 1469434 2938868 3673585 5143019 5877736 7347170 10286038 11755472 14694340 18367925 20572076 25715095 29388680 36735850 41144152 51430190 58777360 73471700 78614719 82288304 102860380 128575475 146943400 157229438 205720760 257150950 293886800 314458876 393073595 411441520 514301900 550303033 628917752 786147190 1028603800 1100606066 1257835504 1572294380 1965367975 2057207600 2201212132 2751515165 3144588760 3930735950 4402424264 5503030330 6289177520 7861471900 8804848528 11006060660 13757575825 15722943800 22012121320 27515151650 31445887600 44024242640 55030303300 110060606600 220121213200