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103927320000 = 263354759233
BaseRepresentation
bin110000011001010001…
…1010000110111000000
3100221020212120212111000
41200302203100313000
53200320343220000
6115424335052000
710336262434020
oct1406243206700
9327225525430
10103927320000
1140091298809
1218185071000
139a5336482a
14505c895a80
152a83e05000
hex18328d0dc0

103927320000 has 1120 divisors, whose sum is σ = 445627353600. Its totient is φ = 23251968000.

The previous prime is 103927319989. The next prime is 103927320023. The reversal of 103927320000 is 23729301.

103927320000 is a `hidden beast` number, since 1 + 0 + 392 + 73 + 200 + 0 + 0 = 666.

103927320000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 446039884 + ... + 446040116.

Almost surely, 2103927320000 is an apocalyptic number.

103927320000 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 103927320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222813676800).

103927320000 is an abundant number, since it is smaller than the sum of its proper divisors (341700033600).

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

103927320000 is an equidigital number, since it uses as much as digits as its factorization.

103927320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 103927320000 in words is "one hundred three billion, nine hundred twenty-seven million, three hundred twenty thousand".