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2021231320 = 235172533299
BaseRepresentation
bin111100001111001…
…1000101011011000
312012212022012010021
41320132120223120
513114413400240
6532322000224
7101042116453
oct17036305330
95185265107
102021231320
11947a29009
12484aa6074
1326299c084
1415262449a
15bc6a854a
hex78798ad8

2021231320 has 96 divisors (see below), whose sum is σ = 4923666000. Its totient is φ = 746350592.

The previous prime is 2021231257. The next prime is 2021231321. The reversal of 2021231320 is 231321202.

It is a junction number, because it is equal to n+sod(n) for n = 2021231294 and 2021231303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021231321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611031 + ... + 614329.

Almost surely, 22021231320 is an apocalyptic number.

2021231320 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 2021231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461833000).

2021231320 is an abundant number, since it is smaller than the sum of its proper divisors (2902434680).

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

2021231320 is a wasteful number, since it uses less digits than its factorization.

2021231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2021231320 is about 44958.1062768440. The cubic root of 2021231320 is about 1264.3636641876.

Adding to 2021231320 its reverse (231321202), we get a palindrome (2252552522).

The spelling of 2021231320 in words is "two billion, twenty-one million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 289 340 424 530 578 680 901 1060 1156 1445 1802 2120 2312 2890 3299 3604 4505 5780 6598 7208 9010 11560 13196 15317 16495 18020 26392 30634 32990 36040 56083 61268 65980 76585 112166 122536 131960 153170 174847 224332 280415 306340 349694 448664 560830 612680 699388 874235 953411 1121660 1398776 1748470 1906822 2243320 2972399 3496940 3813644 4767055 5944798 6993880 7627288 9534110 11889596 14861995 19068220 23779192 29723990 38136440 50530783 59447980 101061566 118895960 202123132 252653915 404246264 505307830 1010615660 2021231320