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1200202201000 = 2353111071019713
BaseRepresentation
bin10001011101110001101…
…000000011011110101000
311020201221011011222121101
4101131301220003132220
5124131003230413000
62315210522251144
7152466062245225
oct21356150033650
94221834158541
101200202201000
11423003942760
12174735356ab4
1389242462a7a
144213932094c
152134782be6a
hex11771a037a8

1200202201000 has 128 divisors (see below), whose sum is σ = 3092425464960. Its totient is φ = 432357888000.

The previous prime is 1200202200983. The next prime is 1200202201013. The reversal of 1200202201000 is 1022020021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667144 + ... + 1686856.

It is an arithmetic number, because the mean of its divisors is an integer number (24159573945).

Almost surely, 21200202201000 is an apocalyptic number.

1200202201000 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 1200202201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546212732480).

1200202201000 is an abundant number, since it is smaller than the sum of its proper divisors (1892223263960).

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

1200202201000 is a wasteful number, since it uses less digits than its factorization.

1200202201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019852 (or 1019838 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1200202201000 its reverse (1022020021), we get a palindrome (1201224221021).

The spelling of 1200202201000 in words is "one trillion, two hundred billion, two hundred two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 107 110 125 200 214 220 250 275 428 440 500 535 550 856 1000 1070 1100 1177 1375 2140 2200 2354 2675 2750 4280 4708 5350 5500 5885 9416 10700 11000 11770 13375 21400 23540 26750 29425 47080 53500 58850 107000 117700 147125 235400 294250 588500 1019713 1177000 2039426 4078852 5098565 8157704 10197130 11216843 20394260 22433686 25492825 40788520 44867372 50985650 56084215 89734744 101971300 109109291 112168430 127464125 203942600 218218582 224336860 254928250 280421075 436437164 448673720 509856500 545546455 560842150 872874328 1019713000 1091092910 1121684300 1200202201 1402105375 2182185820 2243368600 2400404402 2727732275 2804210750 4364371640 4800808804 5455464550 5608421500 6001011005 9601617608 10910929100 11216843000 12002022010 13638661375 21821858200 24004044020 27277322750 30005055025 48008088040 54554645500 60010110050 109109291000 120020220100 150025275125 240040440200 300050550250 600101100500 1200202201000