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2030013013 = 72409101293
BaseRepresentation
bin111100011111111…
…1000101001010101
312020110211100100011
41320333320221111
513124140404023
6533234120221
7101206553200
oct17077705125
95213740304
102030013013
11951986906
12487a20071
13264755242
1415386c937
15bd34050d
hex78ff8a55

2030013013 has 12 divisors (see below), whose sum is σ = 2367240780. Its totient is φ = 1735739712.

The previous prime is 2030012989. The next prime is 2030013019. The reversal of 2030013013 is 3103100302.

It can be written as a sum of positive squares in 2 ways, for example, as 1957797009 + 72216004 = 44247^2 + 8498^2 .

It is a de Polignac number, because none of the positive numbers 2k-2030013013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2030012984 and 2030013002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030013019) 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 11 ways as a sum of consecutive naturals, for example, 30606 + ... + 70687.

It is an arithmetic number, because the mean of its divisors is an integer number (197270065).

Almost surely, 22030013013 is an apocalyptic number.

It is an amenable number.

2030013013 is a deficient number, since it is larger than the sum of its proper divisors (337227767).

2030013013 is a wasteful number, since it uses less digits than its factorization.

2030013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101716 (or 101709 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2030013013 is about 45055.6657147578. The cubic root of 2030013013 is about 1266.1921225698.

Adding to 2030013013 its reverse (3103100302), we get a palindrome (5133113315).

The spelling of 2030013013 in words is "two billion, thirty million, thirteen thousand, thirteen".

Divisors: 1 7 49 409 2863 20041 101293 709051 4963357 41428837 290001859 2030013013