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2201020001200 = 245231370947857
BaseRepresentation
bin100000000001110111000…
…000111110101110110000
321210102012212102222001201
4200001313000332232300
5242030142110014300
64403045025140544
7315006220215346
oct40016700765660
97712185388051
102201020001200
117794a1456a89
122b66a518a754
1312c72aca4547
147875c207996
153c3c0c8466a
hex2007703ebb0

2201020001200 has 120 divisors (see below), whose sum is σ = 5460115391360. Its totient is φ = 851760230400.

The previous prime is 2201020001119. The next prime is 2201020001203. The reversal of 2201020001200 is 21000201022.

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

It is not an unprimeable number, because it can be changed into a prime (2201020001203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45967672 + ... + 46015528.

Almost surely, 22201020001200 is an apocalyptic number.

2201020001200 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 2201020001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730057695680).

2201020001200 is an abundant number, since it is smaller than the sum of its proper divisors (3259095390160).

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

2201020001200 is a wasteful number, since it uses less digits than its factorization.

2201020001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51615 (or 51604 counting only the distinct ones).

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

Adding to 2201020001200 its reverse (21000201022), we get a palindrome (2222020202222).

The spelling of 2201020001200 in words is "two trillion, two hundred one billion, twenty million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 3709 6200 7418 12400 14836 18545 29672 37090 47857 59344 74180 92725 95714 114979 148360 185450 191428 229958 239285 296720 370900 382856 459916 478570 574895 741800 765712 919832 957140 1149790 1196425 1483567 1483600 1839664 1914280 2299580 2392850 2874475 2967134 3828560 4599160 4785700 5748950 5934268 7417835 9198320 9571400 11497900 11868536 14835670 19142800 22995800 23737072 29671340 37089175 45991600 59342680 74178350 118685360 148356700 177501613 296713400 355003226 593426800 710006452 887508065 1420012904 1775016130 2840025808 3550032260 4437540325 5502550003 7100064520 8875080650 11005100006 14200129040 17750161300 22010200012 27512750015 35500322600 44020400024 55025500030 71000645200 88040800048 110051000060 137563750075 220102000120 275127500150 440204000240 550255000300 1100510000600 2201020001200