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2021313312 = 25334435281
BaseRepresentation
bin111100001111010…
…1100101100100000
312012212110100121000
41320132230230200
513114424011222
6532323432000
7101042610504
oct17036545440
95185410530
102021313312
11947a84677
12484b25600
132629ca4a5
14152646304
15bc6c29ac
hex787acb20

2021313312 has 96 divisors (see below), whose sum is σ = 5909924160. Its totient is φ = 672122880.

The previous prime is 2021313251. The next prime is 2021313313. The reversal of 2021313312 is 2133131202.

2021313312 is a `hidden beast` number, since 20 + 21 + 313 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2021313313) 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, 380112 + ... + 385392.

It is an arithmetic number, because the mean of its divisors is an integer number (61561710).

Almost surely, 22021313312 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 2021313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954962080).

2021313312 is an abundant number, since it is smaller than the sum of its proper divisors (3888610848).

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

2021313312 is a wasteful number, since it uses less digits than its factorization.

2021313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743 (or 5729 counting only the distinct ones).

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

The square root of 2021313312 is about 44959.0181387450. The cubic root of 2021313312 is about 1264.3807604172.

Adding to 2021313312 its reverse (2133131202), we get a palindrome (4154444514).

The spelling of 2021313312 in words is "two billion, twenty-one million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 443 864 886 1329 1772 2658 3544 3987 5281 5316 7088 7974 10562 10632 11961 14176 15843 15948 21124 21264 23922 31686 31896 42248 42528 47529 47844 63372 63792 84496 95058 95688 126744 127584 142587 168992 190116 191376 253488 285174 380232 382752 506976 570348 760464 1140696 1520928 2281392 2339483 4562784 4678966 7018449 9357932 14036898 18715864 21055347 28073796 37431728 42110694 56147592 63166041 74863456 84221388 112295184 126332082 168442776 224590368 252664164 336885552 505328328 673771104 1010656656 2021313312