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231300201000 = 2335311291012393
BaseRepresentation
bin1101011101101010010…
…0001111101000101000
3211010000201010122100010
43113122210033220220
512242200322413000
6254131410011520
722465556161221
oct3273244175050
9733021118303
10231300201000
118a103a2a510
12389b1b76ba0
1318a71b8c87b
14b2a30a0248
15603b2ccd50
hex35da90fa28

231300201000 has 512 divisors, whose sum is σ = 822815884800. Its totient is φ = 53580800000.

The previous prime is 231300200987. The next prime is 231300201019. The reversal of 231300201000 is 102003132.

It is a happy number.

231300201000 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96655804 + ... + 96658196.

It is an arithmetic number, because the mean of its divisors is an integer number (1607062275).

Almost surely, 2231300201000 is an apocalyptic number.

231300201000 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 231300201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411407942400).

231300201000 is an abundant number, since it is smaller than the sum of its proper divisors (591515683800).

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

231300201000 is a wasteful number, since it uses less digits than its factorization.

231300201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2544 counting only the distinct ones).

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

Adding to 231300201000 its reverse (102003132), we get a palindrome (231402204132).

The spelling of 231300201000 in words is "two hundred thirty-one billion, three hundred million, two hundred one thousand".