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13112003310 = 235762438111
BaseRepresentation
bin11000011011000100…
…10100101011101110
31020211210112210010020
430031202110223232
5203323133101220
610005031423010
7642633121620
oct141542245356
936753483106
1013112003310
11561942517a
12265b224a66
13130c658b53
148c55a2c10
1551b1c8040
hex30d894aee

13112003310 has 32 divisors (see below), whose sum is σ = 35964352512. Its totient is φ = 2997029280.

The previous prime is 13112003263. The next prime is 13112003339. The reversal of 13112003310 is 1330021131.

13112003310 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 2×131120033102 (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 13112003310.

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 15 ways as a sum of consecutive naturals, for example, 31218846 + ... + 31219265.

It is an arithmetic number, because the mean of its divisors is an integer number (1123886016).

Almost surely, 213112003310 is an apocalyptic number.

13112003310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13112003310 is an abundant number, since it is smaller than the sum of its proper divisors (22852349202).

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

13112003310 is a wasteful number, since it uses less digits than its factorization.

13112003310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62438128.

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

Adding to 13112003310 its reverse (1330021131), we get a palindrome (14442024441).

The spelling of 13112003310 in words is "thirteen billion, one hundred twelve million, three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 62438111 124876222 187314333 312190555 374628666 437066777 624381110 874133554 936571665 1311200331 1873143330 2185333885 2622400662 4370667770 6556001655 13112003310