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2330001300 = 223521117411013
BaseRepresentation
bin1000101011100000…
…1111111110010100
320000101022022220110
42022320033332110
514232440020200
61023112003020
7111511453464
oct21270177624
96011268813
102330001300
11a96252510
12550390470
132b194a8c3
1418163bba4
15d984ab50
hex8ae0ff94

2330001300 has 288 divisors, whose sum is σ = 7984738944. Its totient is φ = 518144000.

The previous prime is 2330001287. The next prime is 2330001301. The reversal of 2330001300 is 31000332.

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 not an unprimeable number, because it can be changed into a prime (2330001301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2299594 + ... + 2300606.

It is an arithmetic number, because the mean of its divisors is an integer number (27724788).

Almost surely, 22330001300 is an apocalyptic number.

2330001300 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 2330001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992369472).

2330001300 is an abundant number, since it is smaller than the sum of its proper divisors (5654737644).

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

2330001300 is a wasteful number, since it uses less digits than its factorization.

2330001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2330001300 is about 48270.0870104871. The cubic root of 2330001300 is about 1325.7207518082.

Adding to 2330001300 its reverse (31000332), we get a palindrome (2361001632).

The spelling of 2330001300 in words is "two billion, three hundred thirty million, one thousand, three hundred".