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123320010000 = 2435411477951
BaseRepresentation
bin111001011011001110…
…0100000010100010000
3102210022101100121000210
41302312130200110100
54010024410310000
6132352531444120
711623661534565
oct1626634402420
9383271317023
10123320010000
1148332a26840
121ba97756640
13b823c84525
145d7c25086c
15331b6ac350
hex1cb6720510

123320010000 has 400 divisors, whose sum is σ = 443579609088. Its totient is φ = 29256000000.

The previous prime is 123320009983. The next prime is 123320010013. The reversal of 123320010000 is 10023321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15506025 + ... + 15513975.

Almost surely, 2123320010000 is an apocalyptic number.

123320010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123320010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221789804544).

123320010000 is an abundant number, since it is smaller than the sum of its proper divisors (320259599088).

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

123320010000 is a wasteful number, since it uses less digits than its factorization.

123320010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8040 (or 8019 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 123320010000 its reverse (10023321), we get a palindrome (123330033321).

The spelling of 123320010000 in words is "one hundred twenty-three billion, three hundred twenty million, ten thousand".