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2201312331300 = 22352113229328319
BaseRepresentation
bin100000000010001000011…
…100001000011000100100
321210102222020111212120110
4200002020130020120210
5242031241424100200
64403134030533020
7315016400041605
oct40021034103044
97712866455513
102201312331300
11779631471a05
122b6767067170
1312c776718234
1478788d81dac
153c3db77ab50
hex20088708624

2201312331300 has 144 divisors (see below), whose sum is σ = 6428523548160. Its totient is φ = 581547509760.

The previous prime is 2201312331191. The next prime is 2201312331341. The reversal of 2201312331300 is 31332131022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77718541 + ... + 77746859.

It is an arithmetic number, because the mean of its divisors is an integer number (44642524640).

Almost surely, 22201312331300 is an apocalyptic number.

2201312331300 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 2201312331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214261774080).

2201312331300 is an abundant number, since it is smaller than the sum of its proper divisors (4227211216860).

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

2201312331300 is a wasteful number, since it uses less digits than its factorization.

2201312331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30742 (or 30735 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2201312331300 its reverse (31332131022), we get a palindrome (2232644462322).

The spelling of 2201312331300 in words is "two trillion, two hundred one billion, three hundred twelve million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 150 226 300 339 452 565 678 1130 1356 1695 2260 2293 2825 3390 4586 5650 6780 6879 8475 9172 11300 11465 13758 16950 22930 27516 28319 33900 34395 45860 56638 57325 68790 84957 113276 114650 137580 141595 169914 171975 229300 259109 283190 339828 343950 424785 518218 566380 687900 707975 777327 849570 1036436 1295545 1415950 1554654 1699140 2123925 2591090 2831900 3109308 3200047 3886635 4247850 5182180 6400094 6477725 7773270 8495700 9600141 12800188 12955450 15546540 16000235 19200282 19433175 25910900 32000470 38400564 38866350 48000705 64000940 64935467 77732700 80001175 96001410 129870934 160002350 192002820 194806401 240003525 259741868 320004700 324677335 389612802 480007050 649354670 779225604 960014100 974032005 1298709340 1623386675 1948064010 3246773350 3896128020 4870160025 6493546700 7337707771 9740320050 14675415542 19480640100 22013123313 29350831084 36688538855 44026246626 73377077710 88052493252 110065616565 146754155420 183442694275 220131233130 366885388550 440262466260 550328082825 733770777100 1100656165650 2201312331300