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13303120110 = 2357419151189
BaseRepresentation
bin11000110001110110…
…11000000011101110
31021100010011112002020
430120323120003232
5204221044320420
610040020011010
7650443440510
oct143073300356
937303145066
1013303120110
1157072a0045
1226b3230a66
131340122a07
14902b11bb0
1552cd7a340
hex318ed80ee

13303120110 has 64 divisors (see below), whose sum is σ = 36575884800. Its totient is φ = 3033436032.

The previous prime is 13303120097. The next prime is 13303120163. The reversal of 13303120110 is 1102130331.

13303120110 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 2×133031201102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13303120110.

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 31 ways as a sum of consecutive naturals, for example, 12396 + ... + 163584.

It is an arithmetic number, because the mean of its divisors is an integer number (571498200).

Almost surely, 213303120110 is an apocalyptic number.

13303120110 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 13303120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18287942400).

13303120110 is an abundant number, since it is smaller than the sum of its proper divisors (23272764690).

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

13303120110 is a wasteful number, since it uses less digits than its factorization.

13303120110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151625.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13303120110 its reverse (1102130331), we get a palindrome (14405250441).

The spelling of 13303120110 in words is "thirteen billion, three hundred three million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 419 838 1257 2095 2514 2933 4190 5866 6285 8799 12570 14665 17598 29330 43995 87990 151189 302378 453567 755945 907134 1058323 1511890 2116646 2267835 3174969 4535670 5291615 6349938 10583230 15874845 31749690 63348191 126696382 190044573 316740955 380089146 443437337 633481910 886874674 950222865 1330312011 1900445730 2217186685 2660624022 4434373370 6651560055 13303120110