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5104112130 = 2345131728513
BaseRepresentation
bin1001100000011101…
…01001001000000010
3111011201021202120000
410300032221020002
540423123042010
62202250500430
7240325144245
oct46016511002
914151252500
105104112130
11218a157a97
12ba5434716
136345b1cc0
14365c4325c
151ed16e7c0
hex1303a9202

5104112130 has 160 divisors (see below), whose sum is σ = 15650079984. Its totient is φ = 1182449664.

The previous prime is 5104112129. The next prime is 5104112131. The reversal of 5104112130 is 312114015.

5104112130 is a `hidden beast` number, since 510 + 4 + 1 + 121 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (5104112129) and next prime (5104112131).

It can be written as a sum of positive squares in 8 ways, for example, as 3419091729 + 1685020401 = 58473^2 + 41049^2 .

It is a super-2 number, since 2×51041121302 = 52103921271226273800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5104112131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 164754 + ... + 193266.

Almost surely, 25104112130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5104112130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7825039992).

5104112130 is an abundant number, since it is smaller than the sum of its proper divisors (10545967854).

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

5104112130 is a wasteful number, since it uses less digits than its factorization.

5104112130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28562 (or 28553 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 5104112130 is about 71443.0691529976. The cubic root of 5104112130 is about 1721.7631246731.

Adding to 5104112130 its reverse (312114015), we get a palindrome (5416226145).

The spelling of 5104112130 in words is "five billion, one hundred four million, one hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 78 81 85 90 102 117 130 135 153 162 170 195 221 234 255 270 306 351 390 405 442 459 510 585 663 702 765 810 918 1053 1105 1170 1326 1377 1530 1755 1989 2106 2210 2295 2754 3315 3510 3978 4590 5265 5967 6630 6885 9945 10530 11934 13770 17901 19890 28513 29835 35802 57026 59670 85539 89505 142565 171078 179010 256617 285130 370669 427695 484721 513234 741338 769851 855390 969442 1112007 1283085 1454163 1539702 1853345 2224014 2309553 2423605 2566170 2908326 3336021 3706690 3849255 4362489 4619106 4847210 5560035 6301373 6672042 7270815 7698510 8724978 10008063 11120070 11547765 12602746 13087467 14541630 16680105 18904119 20016126 21812445 23095530 26174934 30024189 31506865 33360210 37808238 39262401 43624890 50040315 56712357 60048378 63013730 65437335 78524802 94520595 100080630 113424714 130874670 150120945 170137071 189041190 196312005 283561785 300241890 340274142 392624010 510411213 567123570 850685355 1020822426 1701370710 2552056065 5104112130