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108010944000 = 2932532331263
BaseRepresentation
bin110010010010111110…
…1000011011000000000
3101022210110122110111100
41210211331003120000
53232201300202000
6121341453214400
710542416606241
oct1444575033000
9338713573440
10108010944000
11418973a8983
1218b24791400
13a2543b4cab
145328d76cc8
152c22697a00
hex1925f43600

108010944000 has 960 divisors, whose sum is σ = 420638220288. Its totient is φ = 26560512000.

The previous prime is 108010943933. The next prime is 108010944001. The reversal of 108010944000 is 449010801.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1080109440002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108010944001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 410687869 + ... + 410688131.

Almost surely, 2108010944000 is an apocalyptic number.

108010944000 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 108010944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210319110144).

108010944000 is an abundant number, since it is smaller than the sum of its proper divisors (312627276288).

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

108010944000 is a wasteful number, since it uses less digits than its factorization.

108010944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 108010944000 its reverse (449010801), we get a palindrome (108459954801).

The spelling of 108010944000 in words is "one hundred eight billion, ten million, nine hundred forty-four thousand".