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320110104000 = 26353127105023
BaseRepresentation
bin1001010100010000000…
…11001000110111000000
31010121021000122011021210
410222020003020313000
520221041141312000
6403020114250120
732061424663221
oct4521003106700
91117230564253
10320110104000
11113837899065
1252058286940
132425627702b
14116c9cc9248
1584d7e28350
hex4a880c8dc0

320110104000 has 224 divisors, whose sum is σ = 1065336569856. Its totient is φ = 84689740800.

The previous prime is 320110103993. The next prime is 320110104011. The reversal of 320110104000 is 401011023.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2995489 + ... + 3100511.

Almost surely, 2320110104000 is an apocalyptic number.

320110104000 is a gapful number since it is divisible by the number (30) 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 320110104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532668284928).

320110104000 is an abundant number, since it is smaller than the sum of its proper divisors (745226465856).

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

320110104000 is a wasteful number, since it uses less digits than its factorization.

320110104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105180 (or 105160 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 320110104000 its reverse (401011023), we get a palindrome (320511115023).

The spelling of 320110104000 in words is "three hundred twenty billion, one hundred ten million, one hundred four thousand".