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2000312021 = 17304138693
BaseRepresentation
bin111011100111010…
…0101011011010101
312011101221101020102
41313032211123111
513044034441041
6530253343445
7100366241321
oct16716453325
95141841212
102000312021
11937140034
12479a97b85
1325b5563a6
1414d93a981
15ba92509b
hex773a56d5

2000312021 has 8 divisors (see below), whose sum is σ = 2118728664. Its totient is φ = 1881978880.

The previous prime is 2000312009. The next prime is 2000312029. The reversal of 2000312021 is 1202130002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1520220100 + 480091921 = 38990^2 + 21911^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2000312021 - 214 = 2000295637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2000311993 and 2000312011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000312029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32351 + ... + 71043.

It is an arithmetic number, because the mean of its divisors is an integer number (264841083).

Almost surely, 22000312021 is an apocalyptic number.

It is an amenable number.

2000312021 is a deficient number, since it is larger than the sum of its proper divisors (118416643).

2000312021 is a wasteful number, since it uses less digits than its factorization.

2000312021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41751.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2000312021 is about 44724.8479147778. The cubic root of 2000312021 is about 1259.9865667922.

Adding to 2000312021 its reverse (1202130002), we get a palindrome (3202442023).

The spelling of 2000312021 in words is "two billion, three hundred twelve thousand, twenty-one".

Divisors: 1 17 3041 38693 51697 657781 117665413 2000312021