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1330121322200 = 2352112109350287
BaseRepresentation
bin10011010110110001011…
…010001010111011011000
311201011021102221011101002
4103112301122022323120
5133243042024302300
62455014352044132
7165045434456306
oct23266132127330
94634242834332
101330121322200
114731128a0400
12195952b33648
139857865a208
1448541b75276
15248ed5165d5
hex135b168aed8

1330121322200 has 144 divisors (see below), whose sum is σ = 3402407127840. Its totient is φ = 483228345600.

The previous prime is 1330121322169. The next prime is 1330121322203. The reversal of 1330121322200 is 22231210331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330121322203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26425457 + ... + 26475743.

Almost surely, 21330121322200 is an apocalyptic number.

1330121322200 is a gapful number since it is divisible by the number (10) 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 1330121322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701203563920).

1330121322200 is an abundant number, since it is smaller than the sum of its proper divisors (2072285805640).

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

1330121322200 is a wasteful number, since it uses less digits than its factorization.

1330121322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51418 (or 51398 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1330121322200 its reverse (22231210331), we get a palindrome (1352352532531).

The spelling of 1330121322200 in words is "one trillion, three hundred thirty billion, one hundred twenty-one million, three hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1093 1100 1210 2186 2200 2420 3025 4372 4840 5465 6050 8744 10930 12023 12100 21860 24046 24200 27325 43720 48092 50287 54650 60115 96184 100574 109300 120230 132253 201148 218600 240460 251435 264506 300575 402296 480920 502870 529012 553157 601150 661265 1005740 1058024 1106314 1202300 1257175 1322530 2011480 2212628 2404600 2514350 2645060 2765785 3306325 4425256 5028700 5290120 5531570 6084727 6612650 10057400 11063140 12169454 13225300 13828925 22126280 24338908 26450600 27657850 30423635 48677816 54963691 55315700 60847270 109927382 110631400 121694540 152118175 219854764 243389080 274818455 304236350 439709528 549636910 604600601 608472700 1099273820 1209201202 1216945400 1374092275 2198547640 2418402404 2748184550 3023003005 4836804808 5496369100 6046006010 6650606611 10992738200 12092012020 13301213222 15115015025 24184024040 26602426444 30230030050 33253033055 53204852888 60460060100 66506066110 120920120200 133012132220 166265165275 266024264440 332530330550 665060661100 1330121322200