Search a number
-
+
20332334231020 = 2257798663212209
BaseRepresentation
bin1001001111101111111011…
…00011110010110111101100
32122222202022022221122202201
410213313331203302313230
510131111110030343040
6111124313450031244
74165651124254330
oct447677543626754
978882268848681
1020332334231020
116529992679709
122344661718524
13b4643bc76606
145041398277c0
15253d56052a9a
hex127dfd8f2dec

20332334231020 has 96 divisors (see below), whose sum is σ = 49421230387200. Its totient is φ = 6882017485824.

The previous prime is 20332334231017. The next prime is 20332334231021. The reversal of 20332334231020 is 2013243323302.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 20332334231020.

It is not an unprimeable number, because it can be changed into a prime (20332334231021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95706676 + ... + 95918884.

It is an arithmetic number, because the mean of its divisors is an integer number (514804483200).

Almost surely, 220332334231020 is an apocalyptic number.

20332334231020 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 20332334231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24710615193600).

20332334231020 is an abundant number, since it is smaller than the sum of its proper divisors (29088896156180).

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

20332334231020 is a wasteful number, since it uses less digits than its factorization.

20332334231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220967 (or 220965 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 20332334231020 its reverse (2013243323302), we get a palindrome (22345577554322).

The spelling of 20332334231020 in words is "twenty trillion, three hundred thirty-two billion, three hundred thirty-four million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 1106 1580 2212 2765 5530 8663 11060 17326 34652 43315 60641 86630 121282 173260 212209 242564 303205 424418 606410 684377 848836 1061045 1212820 1368754 1485463 2122090 2737508 2970926 3421885 4244180 4790639 5941852 6843770 7427315 9581278 13687540 14854630 16764511 19162556 23953195 29709260 33529022 47906390 67058044 83822555 95812780 117351577 167645110 234703154 335290220 469406308 586757885 1173515770 1838366567 2347031540 3676733134 7353466268 9191832835 12868565969 18383665670 25737131938 36767331340 51474263876 64342829845 128685659690 145230958793 257371319380 290461917586 580923835172 726154793965 1016616711551 1452309587930 2033233423102 2904619175860 4066466846204 5083083557755 10166167115510 20332334231020