Search a number
-
+
5111111115 = 32511174712923
BaseRepresentation
bin1001100001010010…
…10101110111001011
3111012012110100100200
410300221111313023
540431421023430
62203100503243
7240441504405
oct46051256713
914165410320
105111111115
1121930a8480
12ba784ab23
13635b92906
14366b45b75
151edaa3460
hex130a55dcb

5111111115 has 96 divisors (see below), whose sum is σ = 10451690496. Its totient is φ = 2282542080.

The previous prime is 5111111101. The next prime is 5111111141.

5111111115 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5111111115 - 28 = 5111110859 is a prime.

It is a super-2 number, since 2×51111111152 = 52246913659753086450, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 389044 + ... + 401966.

It is an arithmetic number, because the mean of its divisors is an integer number (108871776).

Almost surely, 25111111115 is an apocalyptic number.

5111111115 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5111111115 is an abundant number, since it is smaller than the sum of its proper divisors (5340579381).

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

5111111115 is a wasteful number, since it uses less digits than its factorization.

5111111115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13009 (or 13006 counting only the distinct ones).

The product of its digits is 25, while the sum is 18.

The square root of 5111111115 is about 71492.0353256221. The cubic root of 5111111115 is about 1722.5497512248.

It can be divided in two parts, 51111 and 11115, that added together give a palindrome (62226).

The spelling of 5111111115 in words is "five billion, one hundred eleven million, one hundred eleven thousand, one hundred fifteen".

Divisors: 1 3 5 9 11 15 17 33 45 47 51 55 85 99 141 153 165 187 235 255 423 495 517 561 705 765 799 935 1551 1683 2115 2397 2585 2805 3995 4653 7191 7755 8415 8789 11985 12923 23265 26367 35955 38769 43945 64615 79101 116307 131835 142153 193845 219691 395505 426459 581535 607381 659073 710765 1098455 1279377 1822143 1977219 2132295 2416601 3036905 3295365 5466429 6396885 6681191 7249803 9110715 9886095 10325477 12083005 20043573 21749409 27332145 30976431 33405955 36249015 51627385 60130719 92929293 100217865 108747045 113580247 154882155 300653595 340740741 464646465 567901235 1022222223 1703703705 5111111115