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2000311001 = 131753170777
BaseRepresentation
bin111011100111010…
…0101001011011001
312011101221022211122
41313032211023121
513044034423001
6530253335025
7100366235333
oct16716451331
95141838748
102000311001
1193713a297
12479a97475
1325b555aa0
1414d93a453
15ba924b1b
hex773a52d9

2000311001 has 16 divisors (see below), whose sum is σ = 2323947024. Its totient is φ = 1705027584.

The previous prime is 2000310973. The next prime is 2000311003. The reversal of 2000311001 is 1001130002.

It can be written as a sum of positive squares in 8 ways, for example, as 32501401 + 1967809600 = 5701^2 + 44360^2 .

It is not a de Polignac number, because 2000311001 - 214 = 2000294617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2000311001.

It is not an unprimeable number, because it can be changed into a prime (2000311003) 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, 73676 + ... + 97101.

It is an arithmetic number, because the mean of its divisors is an integer number (145246689).

Almost surely, 22000311001 is an apocalyptic number.

It is an amenable number.

2000311001 is a deficient number, since it is larger than the sum of its proper divisors (323636023).

2000311001 is a wasteful number, since it uses less digits than its factorization.

2000311001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170860.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 2000311001 is about 44724.8365117191. The cubic root of 2000311001 is about 1259.9863526279.

Adding to 2000311001 its reverse (1001130002), we get a palindrome (3001441003).

The spelling of 2000311001 in words is "two billion, three hundred eleven thousand, one".

Divisors: 1 13 17 53 221 689 901 11713 170777 2220101 2903209 9051181 37741717 117665353 153870077 2000311001