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20212033320 = 23325337166601
BaseRepresentation
bin10010110100101110…
…110010011100101000
31221011121111200021200
4102310232302130220
5312343240031240
613141342004200
71313605306563
oct226456623450
957147450250
1020212033320
118632190876
123b00b76660
131ba15b613b
14d9a51b4da
157d46a0930
hex4b4bb2728

20212033320 has 96 divisors (see below), whose sum is σ = 65884426920. Its totient is φ = 5373849600.

The previous prime is 20212033223. The next prime is 20212033321. The reversal of 20212033320 is 2333021202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14430255876 + 5781777444 = 120126^2 + 76038^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20212033293 and 20212033302.

It is not an unprimeable number, because it can be changed into a prime (20212033321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38020 + ... + 204620.

Almost surely, 220212033320 is an apocalyptic number.

20212033320 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 20212033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32942213460).

20212033320 is an abundant number, since it is smaller than the sum of its proper divisors (45672393600).

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

20212033320 is a wasteful number, since it uses less digits than its factorization.

20212033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166955 (or 166948 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20212033320 its reverse (2333021202), we get a palindrome (22545054522).

The spelling of 20212033320 in words is "twenty billion, two hundred twelve million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 337 360 674 1011 1348 1685 2022 2696 3033 3370 4044 5055 6066 6740 8088 10110 12132 13480 15165 20220 24264 30330 40440 60660 121320 166601 333202 499803 666404 833005 999606 1332808 1499409 1666010 1999212 2499015 2998818 3332020 3998424 4998030 5997636 6664040 7497045 9996060 11995272 14994090 19992120 29988180 56144537 59976360 112289074 168433611 224578148 280722685 336867222 449156296 505300833 561445370 673734444 842168055 1010601666 1122890740 1347468888 1684336110 2021203332 2245781480 2526504165 3368672220 4042406664 5053008330 6737344440 10106016660 20212033320