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2201220312000 = 2635391717513
BaseRepresentation
bin100000000010000010111…
…101000110101111000000
321210102201211100210211020
4200002002331012233000
5242031044344441000
64403120542345440
7315014201636013
oct40020275065700
97712654323736
102201220312000
117795945314a6
122b674028b280
1312c76063a148
147877aa6b37a
153c3d3650ba0
hex20082f46bc0

2201220312000 has 112 divisors (see below), whose sum is σ = 7268429549472. Its totient is φ = 586992076800.

The previous prime is 2201220311959. The next prime is 2201220312007. The reversal of 2201220312000 is 2130221022.

It is a happy number.

It is a super-2 number, since 2×22012203120002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201220312007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45834757 + ... + 45882756.

It is an arithmetic number, because the mean of its divisors is an integer number (64896692406).

Almost surely, 22201220312000 is an apocalyptic number.

2201220312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201220312000 is an abundant number, since it is smaller than the sum of its proper divisors (5067209237472).

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

2201220312000 is an equidigital number, since it uses as much as digits as its factorization.

2201220312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91717543 (or 91717523 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2201220312000 its reverse (2130221022), we get a palindrome (2203350533022).

The spelling of 2201220312000 in words is "two trillion, two hundred one billion, two hundred twenty million, three hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 91717513 183435026 275152539 366870052 458587565 550305078 733740104 917175130 1100610156 1375762695 1467480208 1834350260 2201220312 2292937825 2751525390 2934960416 3668700520 4402440624 4585875650 5503050780 5869920832 6878813475 7337401040 8804881248 9171751300 11006101560 11464689125 13757626950 14674802080 17609762496 18343502600 22012203120 22929378250 27515253900 29349604160 34394067375 36687005200 44024406240 45858756500 55030507800 68788134750 73374010400 88048812480 91717513000 110061015600 137576269500 146748020800 183435026000 220122031200 275152539000 366870052000 440244062400 550305078000 733740104000 1100610156000 2201220312000