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105330240050 = 2527325792399
BaseRepresentation
bin110001000011000101…
…0111110101000110010
3101001212122102120222212
41202012022332220302
53211204020140200
6120215452332122
710416116160650
oct1420612765062
9331778376885
10105330240050
11407411a1372
12184b6a74042
139c17bc6439
145152d27dd0
152b17175035
hex18862bea32

105330240050 has 48 divisors (see below), whose sum is σ = 223973164800. Its totient is φ = 36101746560.

The previous prime is 105330240023. The next prime is 105330240061. The reversal of 105330240050 is 50042033501.

It is a super-3 number, since 3×1053302400503 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105330239998 and 105330240025.

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 23 ways as a sum of consecutive naturals, for example, 1093751 + ... + 1186149.

It is an arithmetic number, because the mean of its divisors is an integer number (4666107600).

Almost surely, 2105330240050 is an apocalyptic number.

105330240050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105330240050 is an abundant number, since it is smaller than the sum of its proper divisors (118642924750).

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

105330240050 is a wasteful number, since it uses less digits than its factorization.

105330240050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95675 (or 95670 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

Adding to 105330240050 its reverse (50042033501), we get a palindrome (155372273551).

The spelling of 105330240050 in words is "one hundred five billion, three hundred thirty million, two hundred forty thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 175 350 3257 6514 16285 22799 32570 45598 81425 92399 113995 162850 184798 227990 461995 569975 646793 923990 1139950 1293586 2309975 3233965 4619950 6467930 16169825 32339650 300943543 601887086 1504717715 2106604801 3009435430 4213209602 7523588575 10533024005 15047177150 21066048010 52665120025 105330240050