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201111202320 = 24357187363913
BaseRepresentation
bin1011101101001100101…
…0010110101000010000
3201020002210012121111220
42323103022112220100
511243333431433240
6232220023005040
720346503004630
oct2732312265020
9636083177456
10201111202320
1178322037a26
1232b87899780
1315c705c2a42
149a3b8d86c0
155370cbe5d0
hex2ed3296a10

201111202320 has 160 divisors (see below), whose sum is σ = 712899823872. Its totient is φ = 45943013376.

The previous prime is 201111202301. The next prime is 201111202351. The reversal of 201111202320 is 23202111102.

201111202320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 201111202320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3114684 + ... + 3178596.

Almost surely, 2201111202320 is an apocalyptic number.

201111202320 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 201111202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356449911936).

201111202320 is an abundant number, since it is smaller than the sum of its proper divisors (511788621552).

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

201111202320 is a wasteful number, since it uses less digits than its factorization.

201111202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65809 (or 65803 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201111202320 its reverse (23202111102), we get a palindrome (224313313422).

The spelling of 201111202320 in words is "two hundred one billion, one hundred eleven million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1873 3746 5619 7492 9365 11238 13111 14984 18730 22476 26222 28095 29968 37460 39333 44952 52444 56190 63913 65555 74920 78666 89904 104888 112380 127826 131110 149840 157332 191739 196665 209776 224760 255652 262220 314664 319565 383478 393330 447391 449520 511304 524440 629328 639130 766956 786660 894782 958695 1022608 1048880 1278260 1342173 1533912 1573320 1789564 1917390 2236955 2556520 2684346 3067824 3146640 3579128 3834780 4473910 5113040 5368692 6710865 7158256 7669560 8947820 10737384 13421730 15339120 17895640 21474768 26843460 35791280 53686920 107373840 119709049 239418098 359127147 478836196 598545245 718254294 837963343 957672392 1197090490 1436508588 1675926686 1795635735 1915344784 2394180980 2513890029 2873017176 3351853372 3591271470 4189816715 4788361960 5027780058 5746034352 6703706744 7182542940 8379633430 9576723920 10055560116 12569450145 13407413488 14365085880 16759266860 20111120232 25138900290 28730171760 33518533720 40222240464 50277800580 67037067440 100555601160 201111202320