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20011320320 = 21055696869
BaseRepresentation
bin10010101000110001…
…001000010000000000
31220122121211101210212
4102220301020100000
5311440344222240
613105412013252
71305620262515
oct225061102000
956577741725
1020011320320
118539961162
123a65901228
131b6bb3c454
14d7b9d130c
157c1c55165
hex4a8c48400

20011320320 has 88 divisors (see below), whose sum is σ = 48095083800. Its totient is φ = 7989297152.

The previous prime is 20011320319. The next prime is 20011320359. The reversal of 20011320320 is 2302311002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 750321664 + 19260998656 = 27392^2 + 138784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20011320295 and 20011320304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2909846 + ... + 2916714.

Almost surely, 220011320320 is an apocalyptic number.

20011320320 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 20011320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24047541900).

20011320320 is an abundant number, since it is smaller than the sum of its proper divisors (28083763480).

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

20011320320 is an equidigital number, since it uses as much as digits as its factorization.

20011320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7463 (or 7445 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20011320320 its reverse (2302311002), we get a palindrome (22313631322).

The spelling of 20011320320 in words is "twenty billion, eleven million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 569 640 1024 1138 1280 2276 2560 2845 4552 5120 5690 6869 9104 11380 13738 18208 22760 27476 34345 36416 45520 54952 68690 72832 91040 109904 137380 145664 182080 219808 274760 291328 364160 439616 549520 582656 728320 879232 1099040 1456640 1758464 2198080 2913280 3516928 3908461 4396160 7033856 7816922 8792320 15633844 17584640 19542305 31267688 35169280 39084610 62535376 78169220 125070752 156338440 250141504 312676880 500283008 625353760 1000566016 1250707520 2001132032 2501415040 4002264064 5002830080 10005660160 20011320320