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20031133320 = 233251117223761
BaseRepresentation
bin10010101001111100…
…101101011010001000
31220201000010000010200
4102221330231122020
5312010432231240
613111400412200
71306250552412
oct225174553210
956630100120
1020031133320
11854a063a40
123a70477060
131b72c88713
14d804ab9b2
157c386a930
hex4a9f2d688

20031133320 has 576 divisors, whose sum is σ = 78826400640. Its totient is φ = 4365926400.

The previous prime is 20031133301. The next prime is 20031133387. The reversal of 20031133320 is 2333113002.

20031133320 is a `hidden beast` number, since 2 + 0 + 0 + 311 + 33 + 320 = 666.

It is a super-2 number, since 2×200311333202 (a number of 21 digits) contains 22 as substring.

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 = 20031133293 and 20031133302.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 26321740 + ... + 26322500.

It is an arithmetic number, because the mean of its divisors is an integer number (136851390).

Almost surely, 220031133320 is an apocalyptic number.

20031133320 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 20031133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39413200320).

20031133320 is an abundant number, since it is smaller than the sum of its proper divisors (58795267320).

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

20031133320 is a wasteful number, since it uses less digits than its factorization.

20031133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20031133320 its reverse (2333113002), we get a palindrome (22364246322).

It can be divided in two parts, 20031 and 133320, that added together give a palindrome (153351).

The spelling of 20031133320 in words is "twenty billion, thirty-one million, one hundred thirty-three thousand, three hundred twenty".