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5011131125 = 5371113291381
BaseRepresentation
bin1001010101010111…
…11100101011110101
3110221020022211121002
410222223330223311
540230322144000
62145125533045
7235115624510
oct45253745365
913836284532
105011131125
11214171aa90
12b7a274185
1361b258260
1435775bd77
151e4e048d5
hex12aafcaf5

5011131125 has 128 divisors (see below), whose sum is σ = 8692669440. Its totient is φ = 2782080000.

The previous prime is 5011131113. The next prime is 5011131131. The reversal of 5011131125 is 5211311105.

It is a happy number.

It is not a de Polignac number, because 5011131125 - 26 = 5011131061 is a prime.

It is a super-2 number, since 2×50111311252 = 50222870303887531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5011131097 and 5011131106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3627935 + ... + 3629315.

It is an arithmetic number, because the mean of its divisors is an integer number (67911480).

Almost surely, 25011131125 is an apocalyptic number.

5011131125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5011131125 is a deficient number, since it is larger than the sum of its proper divisors (3681538315).

5011131125 is a wasteful number, since it uses less digits than its factorization.

5011131125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

The square root of 5011131125 is about 70789.3433010930. The cubic root of 5011131125 is about 1711.2439365987.

The spelling of 5011131125 in words is "five billion, eleven million, one hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 5 7 11 13 25 29 35 55 65 77 91 125 143 145 175 203 275 319 325 377 385 455 715 725 875 1001 1015 1375 1381 1595 1625 1885 1925 2233 2275 2639 3575 3625 4147 5005 5075 6905 7975 9425 9625 9667 11165 11375 13195 15191 17875 17953 20735 25025 25375 29029 34525 39875 40049 47125 48335 55825 65975 75955 89765 103675 106337 125125 125671 145145 172625 197483 200245 241675 279125 280343 329875 379775 440539 448825 518375 520637 531685 628355 725725 987415 1001225 1208375 1382381 1401715 1898875 2202695 2244125 2603185 2658425 3083773 3141775 3628625 3644459 4937075 5006125 5727007 6911905 7008575 11013475 13015925 13292125 15418865 15708875 18222295 24685375 28635035 34559525 35042875 40089049 55067375 65079625 77094325 91111475 143175175 172797625 200445245 385471625 455557375 715875875 1002226225 5011131125