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12330110320 = 2451114011489
BaseRepresentation
bin10110111101110111…
…01000110101110000
31011211022021111120121
423132323220311300
5200223002012240
65355301020024
7614360131333
oct133673506560
934738244517
1012330110320
115258031420
1224813b4614
131216675888
1484d7cc61a
154c272b04a
hex2deee8d70

12330110320 has 40 divisors (see below), whose sum is σ = 31273645680. Its totient is φ = 4483676160.

The previous prime is 12330110311. The next prime is 12330110347. The reversal of 12330110320 is 2301103321.

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 = 12330110294 and 12330110303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7004865 + ... + 7006624.

It is an arithmetic number, because the mean of its divisors is an integer number (781841142).

Almost surely, 212330110320 is an apocalyptic number.

12330110320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330110320 is an abundant number, since it is smaller than the sum of its proper divisors (18943535360).

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

12330110320 is a wasteful number, since it uses less digits than its factorization.

12330110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14011513 (or 14011507 counting only the distinct ones).

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

Adding to 12330110320 its reverse (2301103321), we get a palindrome (14631213641).

The spelling of 12330110320 in words is "twelve billion, three hundred thirty million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 14011489 28022978 56045956 70057445 112091912 140114890 154126379 224183824 280229780 308252758 560459560 616505516 770631895 1120919120 1233011032 1541263790 2466022064 3082527580 6165055160 12330110320