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102330000 = 243354379
BaseRepresentation
bin1100001100101…
…10111010010000
321010112220101000
412012112322100
5202144030000
614053142000
72351535123
oct606267220
9233486330
10102330000
1152843053
122a32a900
131827b1c6
14d83a3ba
158eb5000
hex6196e90

102330000 has 200 divisors, whose sum is σ = 368007200. Its totient is φ = 27216000.

The previous prime is 102329959. The next prime is 102330023. The reversal of 102330000 is 33201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 269811 + ... + 270189.

It is an arithmetic number, because the mean of its divisors is an integer number (1840036).

Almost surely, 2102330000 is an apocalyptic number.

102330000 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 102330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184003600).

102330000 is an abundant number, since it is smaller than the sum of its proper divisors (265677200).

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

102330000 is an equidigital number, since it uses as much as digits as its factorization.

102330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 102330000 is about 10115.8291800524. The cubic root of 102330000 is about 467.7362090000.

Adding to 102330000 its reverse (33201), we get a palindrome (102363201).

The spelling of 102330000 in words is "one hundred two million, three hundred thirty thousand".