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3105005013 = 321131363687
BaseRepresentation
bin1011100100010010…
…1001110111010101
322000101121121010200
42321010221313111
522324340130023
61232035011113
7136642051515
oct27104516725
98011547120
103105005013
111353770250
12727a39a99
133a638b196
1421653b845
151328d6743
hexb9129dd5

3105005013 has 12 divisors (see below), whose sum is σ = 4892735328. Its totient is φ = 1881821160.

The previous prime is 3105005009. The next prime is 3105005021.

It is a happy number.

3105005013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3105005013 - 22 = 3105005009 is a prime.

It is a super-2 number, since 2×31050050132 = 19282112261510260338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3105005003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15681745 + ... + 15681942.

It is an arithmetic number, because the mean of its divisors is an integer number (407727944).

Almost surely, 23105005013 is an apocalyptic number.

3105005013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3105005013 is a deficient number, since it is larger than the sum of its proper divisors (1787730315).

3105005013 is a wasteful number, since it uses less digits than its factorization.

3105005013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31363704 (or 31363701 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 3105005013 is about 55722.5718448099. The cubic root of 3105005013 is about 1458.8840244467.

It can be divided in two parts, 310500 and 5013, that added together give a palindrome (315513).

The spelling of 3105005013 in words is "three billion, one hundred five million, five thousand, thirteen".

Divisors: 1 3 9 11 33 99 31363687 94091061 282273183 345000557 1035001671 3105005013