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5011134100 = 2252719537109
BaseRepresentation
bin1001010101010111…
…11101011010010100
3110221020022222200021
410222223331122110
540230322242400
62145125554524
7235115636260
oct45253753224
913836288607
105011134100
112141722245
12b7a275a44
1361b25970b
1435775d0a0
151e4e0571a
hex12aafd694

5011134100 has 144 divisors (see below), whose sum is σ = 13330396800. Its totient is φ = 1596741120.

The previous prime is 5011134067. The next prime is 5011134137. The reversal of 5011134100 is 14311105.

It is a super-2 number, since 2×50111341002 = 50222929936365620000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 701346 + ... + 708454.

It is an arithmetic number, because the mean of its divisors is an integer number (92572200).

Almost surely, 25011134100 is an apocalyptic number.

5011134100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5011134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6665198400).

5011134100 is an abundant number, since it is smaller than the sum of its proper divisors (8319262700).

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

5011134100 is a wasteful number, since it uses less digits than its factorization.

5011134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7202 (or 7195 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 5011134100 is about 70789.3643141397. The cubic root of 5011134100 is about 1711.2442752414.

Adding to 5011134100 its reverse (14311105), we get a palindrome (5025445205).

The spelling of 5011134100 in words is "five billion, eleven million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 53 70 76 95 100 106 133 140 175 190 212 265 266 350 371 380 475 530 532 665 700 742 950 1007 1060 1325 1330 1484 1855 1900 2014 2650 2660 3325 3710 4028 5035 5300 6650 7049 7109 7420 9275 10070 13300 14098 14218 18550 20140 25175 28196 28436 35245 35545 37100 49763 50350 70490 71090 99526 100700 135071 140980 142180 176225 177725 199052 248815 270142 352450 355450 376777 497630 540284 675355 704900 710900 753554 945497 995260 1244075 1350710 1507108 1883885 1890994 2488150 2637439 2701420 3376775 3767770 3781988 4727485 4976300 5274878 6753550 7158763 7535540 9419425 9454970 10549756 13187195 13507100 14317526 18838850 18909940 23637425 26374390 28635052 35793815 37677700 47274850 50111341 52748780 65935975 71587630 94549700 100222682 131871950 143175260 178969075 200445364 250556705 263743900 357938150 501113410 715876300 1002226820 1252783525 2505567050 5011134100