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20213113320 = 23325373074943
BaseRepresentation
bin10010110100110010…
…111010000111101000
31221011200112112202200
4102310302322013220
5312344024111240
613141421100200
71313620425351
oct226462720750
957150475680
1020213113320
118632859234
123b013b7660
131ba18a38aa
14d9a71cd28
157d4815930
hex4b4cba1e8

20213113320 has 192 divisors, whose sum is σ = 67701553920. Its totient is φ = 5226342912.

The previous prime is 20213113313. The next prime is 20213113331. The reversal of 20213113320 is 2331131202.

20213113320 is a `hidden beast` number, since 2 + 0 + 21 + 311 + 332 + 0 = 666.

It is a super-2 number, since 2×202131133202 (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 = 20213113293 and 20213113302.

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 47 ways as a sum of consecutive naturals, for example, 4086769 + ... + 4091711.

It is an arithmetic number, because the mean of its divisors is an integer number (352612260).

Almost surely, 220213113320 is an apocalyptic number.

20213113320 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 20213113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33850776960).

20213113320 is an abundant number, since it is smaller than the sum of its proper divisors (47488440600).

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

20213113320 is a wasteful number, since it uses less digits than its factorization.

20213113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5304 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20213113320 its reverse (2331131202), we get a palindrome (22544244522).

The spelling of 20213113320 in words is "twenty billion, two hundred thirteen million, one hundred thirteen thousand, three hundred twenty".