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2021133331 = 7331118947
BaseRepresentation
bin111100001111000…
…0000110000010011
312012212010012201001
41320132000300103
513114402231311
6532315522431
7101041231000
oct17036006023
95185105631
102021133331
11947971428
12484a59417
132629665a9
141525da8a7
15bc6894c1
hex78780c13

2021133331 has 16 divisors (see below), whose sum is σ = 2364710400. Its totient is φ = 1726738440.

The previous prime is 2021133299. The next prime is 2021133347. The reversal of 2021133331 is 1333311202.

It is not a de Polignac number, because 2021133331 - 25 = 2021133299 is a prime.

It is a super-2 number, since 2×20211333312 = 8169959883358311122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2021133299 and 2021133308.

It is not an unprimeable number, because it can be changed into a prime (2021133371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97200 + ... + 116146.

It is an arithmetic number, because the mean of its divisors is an integer number (147794400).

Almost surely, 22021133331 is an apocalyptic number.

2021133331 is a deficient number, since it is larger than the sum of its proper divisors (343577069).

2021133331 is an equidigital number, since it uses as much as digits as its factorization.

2021133331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19279 (or 19265 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 2021133331 is about 44957.0164824135. The cubic root of 2021133331 is about 1264.3432318020.

Adding to 2021133331 its reverse (1333311202), we get a palindrome (3354444533).

The spelling of 2021133331 in words is "two billion, twenty-one million, one hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 7 49 311 343 2177 15239 18947 106673 132629 928403 5892517 6498821 41247619 288733333 2021133331