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2201221313200 = 245271360473113
BaseRepresentation
bin100000000010000011000…
…000111011001010110000
321210102201220020200012201
4200002003000323022300
5242031100124010300
64403121020032544
7315014213305660
oct40020300731260
97712656220181
102201221313200
11779595055738
122b6740692754
1312c7608caa80
147877ac4c1a0
153c3d379c66a
hex2008303b2b0

2201221313200 has 120 divisors (see below), whose sum is σ = 6508842206048. Its totient is φ = 696650250240.

The previous prime is 2201221313141. The next prime is 2201221313227. The reversal of 2201221313200 is 23131221022.

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, 30200157 + ... + 30272956.

Almost surely, 22201221313200 is an apocalyptic number.

2201221313200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201221313200 is an abundant number, since it is smaller than the sum of its proper divisors (4307620892848).

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

2201221313200 is a wasteful number, since it uses less digits than its factorization.

2201221313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60473151 (or 60473140 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2201221313200 its reverse (23131221022), we get a palindrome (2224352534222).

The spelling of 2201221313200 in words is "two trillion, two hundred one billion, two hundred twenty-one million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1456 1820 2275 2600 2800 3640 4550 5200 7280 9100 18200 36400 60473113 120946226 241892452 302365565 423311791 483784904 604731130 786150469 846623582 967569808 1209462260 1511827825 1572300938 1693247164 2116558955 2418924520 3023655650 3144601876 3386494328 3930752345 4233117910 4837849040 5503053283 6047311300 6289203752 6772988656 7861504690 8466235820 10582794775 11006106566 12094622600 12578407504 15723009380 16932471640 19653761725 21165589550 22012213132 24189245200 27515266415 31446018760 33864943280 39307523450 42331179100 44024426264 55030532830 62892037520 78615046900 84662358200 88048852528 110061065660 137576332075 157230093800 169324716400 220122131320 275152664150 314460187600 440244262640 550305328300 1100610656600 2201221313200