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5310520314 = 23111372412437
BaseRepresentation
bin1001111001000100…
…00001101111111010
3111201002200101100120
410330202001233322
541333443122224
62234542514110
7245412451341
oct47442015772
914632611316
105310520314
112285717570
121042595936
136682a1018
14385412b58
15211342779
hex13c881bfa

5310520314 has 64 divisors (see below), whose sum is σ = 11724400512. Its totient is φ = 1590220800.

The previous prime is 5310520307. The next prime is 5310520337. The reversal of 5310520314 is 4130250135.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2177904 + ... + 2180340.

It is an arithmetic number, because the mean of its divisors is an integer number (183193758).

Almost surely, 25310520314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5310520314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862200256).

5310520314 is an abundant number, since it is smaller than the sum of its proper divisors (6413880198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5310520314 is a wasteful number, since it uses less digits than its factorization.

5310520314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5310520314 is about 72873.3168862239. The cubic root of 5310520314 is about 1744.6662431224. Note that the first 3 decimals are identical.

Adding to 5310520314 its reverse (4130250135), we get a palindrome (9440770449).

The spelling of 5310520314 in words is "five billion, three hundred ten million, five hundred twenty thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 137 241 274 411 482 723 822 1446 1507 2437 2651 3014 4521 4874 5302 7311 7953 9042 14622 15906 26807 33017 53614 66034 80421 99051 160842 198102 333869 363187 587317 667738 726374 1001607 1089561 1174634 1761951 2003214 2179122 3523902 3672559 6460487 7345118 11017677 12920974 19381461 22035354 38762922 80462429 160924858 241387287 482774574 885086719 1770173438 2655260157 5310520314