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2330120100 = 22352711195309
BaseRepresentation
bin1000101011100010…
…1100111110100100
320000101112100212110
42022320230332210
514233002320400
61023114321020
7111512460030
oct21270547644
96011470773
102330120100
11a963237a0
12550429170
132b198c9b9
1418166d1c0
15d9870e50
hex8ae2cfa4

2330120100 has 288 divisors, whose sum is σ = 8849433600. Its totient is φ = 458611200.

The previous prime is 2330120083. The next prime is 2330120123. The reversal of 2330120100 is 10210332.

It is a happy number.

2330120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 436246 + ... + 441554.

It is an arithmetic number, because the mean of its divisors is an integer number (30727200).

Almost surely, 22330120100 is an apocalyptic number.

2330120100 is a gapful number since it is divisible by the number (20) 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 2330120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424716800).

2330120100 is an abundant number, since it is smaller than the sum of its proper divisors (6519313500).

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

2330120100 is a wasteful number, since it uses less digits than its factorization.

2330120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5363 (or 5356 counting only the distinct ones).

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

The square root of 2330120100 is about 48271.3175705822. The cubic root of 2330120100 is about 1325.7432829757.

Adding to 2330120100 its reverse (10210332), we get a palindrome (2340330432).

The spelling of 2330120100 in words is "two billion, three hundred thirty million, one hundred twenty thousand, one hundred".