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20330213331200 = 285212763248891
BaseRepresentation
bin1001001111101011111110…
…01001001101000100000000
32122222112211112002210011112
410213311333021031010000
510131042234103044300
6111123323203502452
74165544432023043
oct447657711150400
978875745083145
1020330213331200
116528aa4466243
12234416b387a28
13b4619174b8c6
14503db7c9ac5a
15253c7ec5ce35
hex127d7f24d100

20330213331200 has 108 divisors (see below), whose sum is σ = 50324599467408. Its totient is φ = 8131415500800.

The previous prime is 20330213331199. The next prime is 20330213331247. The reversal of 20330213331200 is 213331203302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81558755 + ... + 81807645.

Almost surely, 220330213331200 is an apocalyptic number.

20330213331200 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 20330213331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25162299733704).

20330213331200 is an abundant number, since it is smaller than the sum of its proper divisors (29994386136208).

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

20330213331200 is a wasteful number, since it uses less digits than its factorization.

20330213331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261680 (or 261661 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 20330213331200 its reverse (213331203302), we get a palindrome (20543544534502).

The spelling of 20330213331200 in words is "twenty trillion, three hundred thirty billion, two hundred thirteen million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 12763 25526 51052 63815 102104 127630 204208 248891 255260 319075 408416 497782 510520 638150 816832 995564 1021040 1244455 1276300 1633664 1991128 2042080 2488910 2552600 3267328 3982256 4084160 4977820 5105200 6222275 7964512 8168320 9955640 10210400 12444550 15929024 16336640 19911280 20420800 24889100 31858048 39822560 40841600 49778200 63716096 79645120 81683200 99556400 159290240 199112800 318580480 398225600 796451200 1592902400 3176595833 6353191666 12706383332 15882979165 25412766664 31765958330 50825533328 63531916660 79414895825 101651066656 127063833320 158829791650 203302133312 254127666640 317659583300 406604266624 508255333280 635319166600 813208533248 1016510666560 1270638333200 2033021333120 2541276666400 4066042666240 5082553332800 10165106665600 20330213331200