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13515033150 = 232521712011471
BaseRepresentation
bin11001001011000111…
…10000101000111110
31021212212220211010100
430211203300220332
5210134322030100
610113030021530
7655625613003
oct144543605076
937785824110
1013515033150
11580597a493
1227521a78a6
131374cbb548
14922d158aa
15541789400
hex3258f0a3e

13515033150 has 144 divisors (see below), whose sum is σ = 38504464128. Its totient is φ = 3386880000.

The previous prime is 13515033143. The next prime is 13515033163. The reversal of 13515033150 is 5133051531.

13515033150 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 503 + 3 + 150 = 666.

13515033150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135150331502 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 9186915 + ... + 9188385.

It is an arithmetic number, because the mean of its divisors is an integer number (267392112).

Almost surely, 213515033150 is an apocalyptic number.

13515033150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13515033150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19252232064).

13515033150 is an abundant number, since it is smaller than the sum of its proper divisors (24989430978).

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

13515033150 is a wasteful number, since it uses less digits than its factorization.

13515033150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

Adding to 13515033150 its reverse (5133051531), we get a palindrome (18648084681).

The spelling of 13515033150 in words is "thirteen billion, five hundred fifteen million, thirty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1201 1275 1471 1530 2402 2550 2942 3603 3825 4413 6005 7206 7355 7650 8826 10809 12010 13239 14710 18015 20417 21618 22065 25007 26478 30025 36030 36775 40834 44130 50014 54045 60050 61251 66195 73550 75021 90075 102085 108090 110325 122502 125035 132390 150042 180150 183753 204170 220650 225063 250070 270225 306255 330975 367506 375105 450126 510425 540450 612510 625175 661950 750210 918765 1020850 1125315 1250350 1531275 1766671 1837530 1875525 2250630 3062550 3533342 3751050 4593825 5300013 5626575 8833355 9187650 10600026 11253150 15900039 17666710 26500065 30033407 31800078 44166775 53000130 60066814 79500195 88333550 90100221 132500325 150167035 159000390 180200442 265000650 270300663 300334070 397500975 450501105 540601326 750835175 795001950 901002210 1351503315 1501670350 2252505525 2703006630 4505011050 6757516575 13515033150