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2000314121 = 132913738729
BaseRepresentation
bin111011100111010…
…0101111100001001
312011101221111010012
41313032211330021
513044040022441
6530253401305
7100366250411
oct16716457411
95141844105
102000314121
11937141673
12479a99235
1325b557330
1414d93b641
15ba9259eb
hex773a5f09

2000314121 has 16 divisors (see below), whose sum is σ = 2244790800. Its totient is φ = 1769714688.

The previous prime is 2000314103. The next prime is 2000314133. The reversal of 2000314121 is 1214130002.

It can be written as a sum of positive squares in 8 ways, for example, as 354794896 + 1645519225 = 18836^2 + 40565^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2000314121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2000314096 and 2000314105.

It is not an unprimeable number, because it can be changed into a prime (2000314171) 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, 32285 + ... + 71013.

It is an arithmetic number, because the mean of its divisors is an integer number (140299425).

Almost surely, 22000314121 is an apocalyptic number.

It is an amenable number.

2000314121 is a deficient number, since it is larger than the sum of its proper divisors (244476679).

2000314121 is a wasteful number, since it uses less digits than its factorization.

2000314121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38908.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2000314121 is about 44724.8713916541. The cubic root of 2000314121 is about 1259.9870077186.

Adding to 2000314121 its reverse (1214130002), we get a palindrome (3214444123).

The spelling of 2000314121 in words is "two billion, three hundred fourteen thousand, one hundred twenty-one".

Divisors: 1 13 29 137 377 1781 3973 38729 51649 503477 1123141 5305873 14600833 68976349 153870317 2000314121