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3130130310313 = 59433122524379
BaseRepresentation
bin101101100011001010010…
…011100010010010101001
3102002020102011101222012211
4231203022103202102221
5402241001324412223
610353543443405121
7442100355433636
oct55431223422251
912066364358184
103130130310313
11aa7531a59986
124267823837a1
131992296cb516
14ab6db80318d
155664dc47d0d
hex2d8ca4e24a9

3130130310313 has 8 divisors (see below), whose sum is σ = 3190534855200. Its totient is φ = 3069970815168.

The previous prime is 3130130310269. The next prime is 3130130310331.

3130130310313 is nontrivially palindromic in base 10.

3130130310313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 3130130310313 - 237 = 2992691356841 is a prime.

It is a super-4 number, since 4×31301303103134 (a number of 51 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3130130310353) 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 7 ways as a sum of consecutive naturals, for example, 61236643 + ... + 61287736.

It is an arithmetic number, because the mean of its divisors is an integer number (398816856900).

Almost surely, 23130130310313 is an apocalyptic number.

It is an amenable number.

3130130310313 is a deficient number, since it is larger than the sum of its proper divisors (60404544887).

3130130310313 is a wasteful number, since it uses less digits than its factorization.

3130130310313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122524871.

The product of its (nonzero) digits is 729, while the sum is 22.

Multiplying 3130130310313 by its sum of digits (22), we get a palindrome (68862866826886).

It can be divided in two parts, 3130130 and 310313, that added together give a palindrome (3440443).

The spelling of 3130130310313 in words is "three trillion, one hundred thirty billion, one hundred thirty million, three hundred ten thousand, three hundred thirteen".

Divisors: 1 59 433 25547 122524379 7228938361 53053056107 3130130310313