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230120113300 = 2252711109487563
BaseRepresentation
bin1101011001010000111…
…0100100010010010100
3210222222110120222100021
43112110032210102110
512232241222111200
6253414332354524
722424406455260
oct3262416442224
9728873528307
10230120113300
1189658894120
1238722915a44
131891454a91c
14b1d04750a0
155ebc8c741a
hex35943a4494

230120113300 has 288 divisors, whose sum is σ = 630699632640. Its totient is φ = 70795814400.

The previous prime is 230120113261. The next prime is 230120113303. The reversal of 230120113300 is 3311021032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230120113303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 408738819 + ... + 408739381.

It is an arithmetic number, because the mean of its divisors is an integer number (2189929280).

Almost surely, 2230120113300 is an apocalyptic number.

230120113300 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 230120113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315349816320).

230120113300 is an abundant number, since it is smaller than the sum of its proper divisors (400579519340).

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

230120113300 is a wasteful number, since it uses less digits than its factorization.

230120113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 230120113300 its reverse (3311021032), we get a palindrome (233431134332).

The spelling of 230120113300 in words is "two hundred thirty billion, one hundred twenty million, one hundred thirteen thousand, three hundred".