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20330021311312 = 2419613997109423
BaseRepresentation
bin1001001111101011100111…
…01100101101001101010000
32122222112100010210011101211
410213311303230231031100
510131041340423430222
6111123252144105504
74165536610623226
oct447656354551520
978875303704354
1020330021311312
116528a06033919
122344117005294
13b46160a2997b
14503d9a594b16
15253c6ce7d277
hex127d73b2d350

20330021311312 has 80 divisors (see below), whose sum is σ = 41572217263360. Its totient is φ = 9604569447936.

The previous prime is 20330021311309. The next prime is 20330021311321. The reversal of 20330021311312 is 21311312003302.

20330021311312 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×203300213113122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185738233 + ... + 185847655.

It is an arithmetic number, because the mean of its divisors is an integer number (519652715792).

Almost surely, 220330021311312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20330021311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20786108631680).

20330021311312 is an abundant number, since it is smaller than the sum of its proper divisors (21242195952048).

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

20330021311312 is a wasteful number, since it uses less digits than its factorization.

20330021311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111060 (or 111054 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 20330021311312 its reverse (21311312003302), we get a palindrome (41641333314614).

The spelling of 20330021311312 in words is "twenty trillion, three hundred thirty billion, twenty-one million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 304 613 997 1226 1994 2452 3988 4904 7976 9808 11647 15952 18943 23294 37886 46588 75772 93176 109423 151544 186352 218846 303088 437692 611161 875384 1222322 1750768 2079037 2444644 4158074 4889288 8316148 9778576 11612059 16632296 23224118 33264592 46448236 67076299 92896472 109094731 134152598 185792944 218189462 268305196 436378924 536610392 872757848 1073220784 1274449681 1745515696 2072799889 2548899362 4145599778 5097798724 8291199556 10195597448 16582399112 20391194896 33164798224 66875070103 133750140206 267500280412 535000560824 1070001121648 1270626331957 2541252663914 5082505327828 10165010655656 20330021311312