Search a number
-
+
2031000113 = 29322213121
BaseRepresentation
bin111100100001110…
…1001101000110001
312020112200111101102
41321003221220301
513124414000423
6533311214145
7101221134062
oct17103515061
95215614342
102031000113
119524a049a
12488217355
13264a0c61c
14153a48569
15bd487c28
hex790e9a31

2031000113 has 8 divisors (see below), whose sum is σ = 2039502696. Its totient is φ = 2022508800.

The previous prime is 2031000107. The next prime is 2031000133. The reversal of 2031000113 is 3110001302.

It can be written as a sum of positive squares in 4 ways, for example, as 278489344 + 1752510769 = 16688^2 + 41863^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2031000113 - 214 = 2030983729 is a prime.

It is a super-3 number, since 3×20310001133 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2031000094 and 2031000103.

It is not an unprimeable number, because it can be changed into a prime (2031000133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 649193 + ... + 652313.

It is an arithmetic number, because the mean of its divisors is an integer number (254937837).

Almost surely, 22031000113 is an apocalyptic number.

It is an amenable number.

2031000113 is a deficient number, since it is larger than the sum of its proper divisors (8502583).

2031000113 is a wasteful number, since it uses less digits than its factorization.

2031000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 2031000113 is about 45066.6186106746. The cubic root of 2031000113 is about 1266.3973192374.

Adding to 2031000113 its reverse (3110001302), we get a palindrome (5141001415).

The spelling of 2031000113 in words is "two billion, thirty-one million, one hundred thirteen", and thus it is an aban number.

Divisors: 1 293 2221 3121 650753 914453 6931741 2031000113