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5012112105 = 32571113111269
BaseRepresentation
bin1001010101011111…
…01100001011101001
3110221022011200020200
410222233230023221
540231100041410
62145202542413
7235130151510
oct45257541351
913838150220
105012112105
112142230010
12b7a667a09
1361b50c910
14357935677
151e504a3c0
hex12abec2e9

5012112105 has 96 divisors (see below), whose sum is σ = 11664656640. Its totient is φ = 1922711040.

The previous prime is 5012112071. The next prime is 5012112113.

5012112105 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5012112105 - 26 = 5012112041 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10590 + ... + 100679.

It is an arithmetic number, because the mean of its divisors is an integer number (121506840).

Almost surely, 25012112105 is an apocalyptic number.

5012112105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5012112105 is an abundant number, since it is smaller than the sum of its proper divisors (6652544535).

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

5012112105 is a wasteful number, since it uses less digits than its factorization.

5012112105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111311 (or 111308 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 5012112105 is about 70796.2718298075. The cubic root of 5012112105 is about 1711.3555937945.

It can be divided in two parts, 50121 and 12105, that added together give a palindrome (62226).

The spelling of 5012112105 in words is "five billion, twelve million, one hundred twelve thousand, one hundred five".

Divisors: 1 3 5 7 9 11 13 15 21 33 35 39 45 55 63 65 77 91 99 105 117 143 165 195 231 273 315 385 429 455 495 585 693 715 819 1001 1155 1287 1365 2145 3003 3465 4095 5005 6435 9009 15015 45045 111269 333807 556345 778883 1001421 1223959 1446497 1669035 2336649 3671877 3894415 4339491 5007105 6119795 7009947 7232485 8567713 10125479 11015631 11683245 13018473 15911467 18359385 21697455 25703139 30376437 35049735 42838565 47734401 50627395 55078155 65092365 77109417 79557335 91129311 111380269 128515695 143203203 151882185 238672005 334140807 385547085 455646555 556901345 716016015 1002422421 1670704035 5012112105