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5283105135 = 3571119240743
BaseRepresentation
bin1001110101110010…
…11100100101101111
3111122012002112210120
410322321130211233
541304433331020
62232123140023
7244630436610
oct47271344557
914565075716
105283105135
1122711a20a0
121035374613
136626c2719
14381917c07
1520dc29740
hex13ae5c96f

5283105135 has 64 divisors (see below), whose sum is σ = 11093483520. Its totient is φ = 2080010880.

The previous prime is 5283105089. The next prime is 5283105151. The reversal of 5283105135 is 5315013825.

It is not a de Polignac number, because 5283105135 - 210 = 5283104111 is a prime.

It is a super-2 number, since 2×52831051352 = 55822399734926736450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5283105096 and 5283105105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98427 + ... + 142316.

It is an arithmetic number, because the mean of its divisors is an integer number (173335680).

Almost surely, 25283105135 is an apocalyptic number.

5283105135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5283105135 is an abundant number, since it is smaller than the sum of its proper divisors (5810378385).

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

5283105135 is a wasteful number, since it uses less digits than its factorization.

5283105135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240788.

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 5283105135 is about 72684.9718648910. The cubic root of 5283105135 is about 1741.6588239945.

The spelling of 5283105135 in words is "five billion, two hundred eighty-three million, one hundred five thousand, one hundred thirty-five".

Divisors: 1 3 5 7 11 15 19 21 33 35 55 57 77 95 105 133 165 209 231 285 385 399 627 665 1045 1155 1463 1995 3135 4389 7315 21945 240743 722229 1203715 1685201 2648173 3611145 4574117 5055603 7944519 8426005 13240865 13722351 18537211 22870585 25278015 32018819 39722595 50315287 55611633 68611755 92686055 96056457 150945861 160094095 251576435 278058165 352207009 480282285 754729305 1056621027 1761035045 5283105135