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2021311248 = 2431122317167
BaseRepresentation
bin111100001111010…
…1100001100010000
312012212110020202120
41320132230030100
513114423424443
6532323414240
7101042601465
oct17036541420
95185406676
102021311248
11947a83070
12484b24380
132629c9578
1415264566c
15bc6c2083
hex787ac310

2021311248 has 80 divisors (see below), whose sum is σ = 5722300416. Its totient is φ = 609736320.

The previous prime is 2021311247. The next prime is 2021311261. The reversal of 2021311248 is 8421131202.

It is a super-2 number, since 2×20213112482 = 8171398322582635008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2021311241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109161 + ... + 126327.

Almost surely, 22021311248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021311248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861150208).

2021311248 is an abundant number, since it is smaller than the sum of its proper divisors (3700989168).

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

2021311248 is a wasteful number, since it uses less digits than its factorization.

2021311248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17412 (or 17406 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2021311248 is about 44958.9951845012. The cubic root of 2021311248 is about 1264.3803300562.

The spelling of 2021311248 in words is "two billion, twenty-one million, three hundred eleven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 223 264 446 528 669 892 1338 1784 2453 2676 3568 4906 5352 7359 9812 10704 14718 17167 19624 29436 34334 39248 51501 58872 68668 103002 117744 137336 188837 206004 274672 377674 412008 566511 755348 824016 1133022 1510696 2266044 3021392 3828241 4532088 7656482 9064176 11484723 15312964 22969446 30625928 42110651 45938892 61251856 84221302 91877784 126331953 168442604 183755568 252663906 336885208 505327812 673770416 1010655624 2021311248