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103043410020 = 223251733674317
BaseRepresentation
bin101111111110111011…
…1011010100001100100
3100211222021100120221100
41133331313122201210
53142013103110040
6115200521520100
710305340351005
oct1377567324144
9324867316840
10103043410020
113a7783560a1
1217b79043030
1399421b2985
144db73271ac
152a31505b30
hex17fddda864

103043410020 has 72 divisors (see below), whose sum is σ = 330951197304. Its totient is φ = 25861874688.

The previous prime is 103043410009. The next prime is 103043410069. The reversal of 103043410020 is 20014340301.

103043410020 is a `hidden beast` number, since 1 + 0 + 304 + 341 + 0 + 0 + 20 = 666.

103043410020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49134928896 + 53908481124 = 221664^2 + 232182^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 103043409975 and 103043410002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16834099 + ... + 16840218.

It is an arithmetic number, because the mean of its divisors is an integer number (4596544407).

Almost surely, 2103043410020 is an apocalyptic number.

103043410020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103043410020 is an abundant number, since it is smaller than the sum of its proper divisors (227907787284).

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

103043410020 is a wasteful number, since it uses less digits than its factorization.

103043410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33674349 (or 33674344 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103043410020 its reverse (20014340301), we get a palindrome (123057750321).

The spelling of 103043410020 in words is "one hundred three billion, forty-three million, four hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 33674317 67348634 101022951 134697268 168371585 202045902 303068853 336743170 404091804 505114755 572463389 606137706 673486340 1010229510 1144926778 1212275412 1515344265 1717390167 2020459020 2289853556 2862316945 3030688530 3434780334 5152170501 5724633890 6061377060 6869560668 8586950835 10304341002 11449267780 17173901670 20608682004 25760852505 34347803340 51521705010 103043410020