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5310314130135 = 357431318978239
BaseRepresentation
bin100110101000110011101…
…1000110010101011010111
3200210122211220220020211010
41031101213120302223113
51144001010404131020
615143305153143303
71055441351226660
oct115214730625327
920718756806733
105310314130135
111768100983453
1271921155ab33
132c69b69b7851
1414504065c367
159320063dde0
hex4d467632ad7

5310314130135 has 64 divisors (see below), whose sum is σ = 10011958640640. Its totient is φ = 2353016615040.

The previous prime is 5310314130133. The next prime is 5310314130161.

5310314130135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5310314130135 - 21 = 5310314130133 is a prime.

It is a super-2 number, since 2×53103141301352 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5310314130133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3897655 + ... + 5080584.

It is an arithmetic number, because the mean of its divisors is an integer number (156436853760).

Almost surely, 25310314130135 is an apocalyptic number.

5310314130135 is a deficient number, since it is larger than the sum of its proper divisors (4701644510505).

5310314130135 is a wasteful number, since it uses less digits than its factorization.

5310314130135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8978428.

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 5310314130135 in words is "five trillion, three hundred ten billion, three hundred fourteen million, one hundred thirty thousand, one hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 43 105 129 131 215 301 393 645 655 903 917 1505 1965 2751 4515 4585 5633 13755 16899 28165 39431 84495 118293 197155 591465 8978239 26934717 44891195 62847673 134673585 188543019 314238365 386064277 942715095 1158192831 1176149309 1930321385 2702449939 3528447927 5790964155 5880746545 8107349817 8233045163 13512249695 17642239635 24699135489 40536749085 41165225815 50574420287 123495677445 151723260861 252872101435 354020942009 758616304305 1062062826027 1770104710045 5310314130135