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2021322312 = 2332173162277
BaseRepresentation
bin111100001111010…
…1110111001001000
312012212110210221100
41320132232321020
513114424303222
6532323541400
7101042645652
oct17036567110
95185423840
102021322312
11947a90409
12484b2a860
13262a01609
141526496d2
15bc6c54ac
hex787aee48

2021322312 has 48 divisors (see below), whose sum is σ = 5506092540. Its totient is φ = 669875328.

The previous prime is 2021322311. The next prime is 2021322313. The reversal of 2021322312 is 2132231202.

It is an interprime number because it is at equal distance from previous prime (2021322311) and next prime (2021322313).

It can be written as a sum of positive squares in 2 ways, for example, as 2020142916 + 1179396 = 44946^2 + 1086^2 .

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 (2021322311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68683 + ... + 93594.

Almost surely, 22021322312 is an apocalyptic number.

It is an amenable number.

2021322312 is an abundant number, since it is smaller than the sum of its proper divisors (3484770228).

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

2021322312 is a wasteful number, since it uses less digits than its factorization.

2021322312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162462 (or 162455 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2021322312 is about 44959.1182297874. The cubic root of 2021322312 is about 1264.3826369875.

Adding to 2021322312 its reverse (2132231202), we get a palindrome (4153553514).

The spelling of 2021322312 in words is "two billion, twenty-one million, three hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 692 1038 1384 1557 2076 3114 4152 6228 12456 162277 324554 486831 649108 973662 1298216 1460493 1947324 2920986 3894648 5841972 11683944 28073921 56147842 84221763 112295684 168443526 224591368 252665289 336887052 505330578 673774104 1010661156 2021322312