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20233331201200 = 2452139479410489
BaseRepresentation
bin1001001100110111100001…
…00001001101010010110000
32122122021202122021122111111
410212123300201031102300
510123000330241414300
6111011021455323104
74155544544350405
oct446336041152260
978567678248444
1020233331201200
1164a09a8a88007
122329431820494
13b39cc1b82c70
144dd426d662ac
152514ae5eb9ba
hex1266f084d4b0

20233331201200 has 120 divisors (see below), whose sum is σ = 52355503720800. Its totient is φ = 7469962106880.

The previous prime is 20233331201191. The next prime is 20233331201231. The reversal of 20233331201200 is 210213333202.

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 23 ways as a sum of consecutive naturals, for example, 49085556 + ... + 49496044.

It is an arithmetic number, because the mean of its divisors is an integer number (436295864340).

Almost surely, 220233331201200 is an apocalyptic number.

20233331201200 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 20233331201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26177751860400).

20233331201200 is an abundant number, since it is smaller than the sum of its proper divisors (32122172519600).

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

20233331201200 is a wasteful number, since it uses less digits than its factorization.

20233331201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419999 (or 419988 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 20233331201200 its reverse (210213333202), we get a palindrome (20443544534402).

The spelling of 20233331201200 in words is "twenty trillion, two hundred thirty-three billion, three hundred thirty-one million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 9479 18958 37916 47395 75832 94790 123227 151664 189580 236975 246454 379160 410489 473950 492908 616135 758320 820978 947900 985816 1232270 1641956 1895800 1971632 2052445 2464540 3080675 3283912 3791600 4104890 4929080 5336357 6161350 6567824 8209780 9858160 10262225 10672714 12322700 16419560 20524450 21345428 24645400 26681785 32839120 41048900 42690856 49290800 53363570 82097800 85381712 106727140 133408925 164195600 213454280 266817850 426908560 533635700 1067271400 2134542800 3891025231 7782050462 15564100924 19455126155 31128201848 38910252310 50583328003 62256403696 77820504620 97275630775 101166656006 155641009240 194551261550 202333312012 252916640015 311282018480 389102523100 404666624024 505833280030 778205046200 809333248048 1011666560060 1264583200075 1556410092400 2023333120120 2529166400150 4046666240240 5058332800300 10116665600600 20233331201200