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20231310320 = 24513179108677
BaseRepresentation
bin10010110101111000…
…010100101111110000
31221012221210001100122
4102311320110233300
5312413203412240
613143311105412
71314231205004
oct226570245760
957187701318
1020231310320
118642057981
123b07512268
131ba55a5450
14d9ccd8704
157d620c4b5
hex4b5e14bf0

20231310320 has 80 divisors (see below), whose sum is σ = 50939552160. Its totient is φ = 7428221952.

The previous prime is 20231310299. The next prime is 20231310353. The reversal of 20231310320 is 2301313202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131822 + ... + 240498.

It is an arithmetic number, because the mean of its divisors is an integer number (636744402).

Almost surely, 220231310320 is an apocalyptic number.

20231310320 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 20231310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25469776080).

20231310320 is an abundant number, since it is smaller than the sum of its proper divisors (30708241840).

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

20231310320 is a wasteful number, since it uses less digits than its factorization.

20231310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108882 (or 108876 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 20231310320 its reverse (2301313202), we get a palindrome (22532623522).

The spelling of 20231310320 in words is "twenty billion, two hundred thirty-one million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 179 208 260 358 520 716 895 1040 1432 1790 2327 2864 3580 4654 7160 9308 11635 14320 18616 23270 37232 46540 93080 108677 186160 217354 434708 543385 869416 1086770 1412801 1738832 2173540 2825602 4347080 5651204 7064005 8694160 11302408 14128010 19453183 22604816 28256020 38906366 56512040 77812732 97265915 113024080 155625464 194531830 252891379 311250928 389063660 505782758 778127320 1011565516 1264456895 1556254640 2023131032 2528913790 4046262064 5057827580 10115655160 20231310320