Search a number
-
+
12103303120 = 245295216941
BaseRepresentation
bin10110100010110100…
…11011111111010000
31011020111111111120221
423101122123333100
5144241421144440
65320555442424
7605634244006
oct132132337720
934214444527
1012103303120
115150aa9857
122419456414
1311ab69392c
1482b62ca76
154ac878d4a
hex2d169bfd0

12103303120 has 40 divisors (see below), whose sum is σ = 29110536360. Its totient is φ = 4674378240.

The previous prime is 12103303111. The next prime is 12103303141. The reversal of 12103303120 is 2130330121.

It can be written as a sum of positive squares in 4 ways, for example, as 1684609936 + 10418693184 = 41044^2 + 102072^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12103303094 and 12103303103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2606151 + ... + 2610790.

It is an arithmetic number, because the mean of its divisors is an integer number (727763409).

Almost surely, 212103303120 is an apocalyptic number.

12103303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12103303120 is an abundant number, since it is smaller than the sum of its proper divisors (17007233240).

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

12103303120 is a wasteful number, since it uses less digits than its factorization.

12103303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5216983 (or 5216977 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12103303120 its reverse (2130330121), we get a palindrome (14233633241).

The spelling of 12103303120 in words is "twelve billion, one hundred three million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 5216941 10433882 20867764 26084705 41735528 52169410 83471056 104338820 151291289 208677640 302582578 417355280 605165156 756456445 1210330312 1512912890 2420660624 3025825780 6051651560 12103303120