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230012022300000 = 253551455152691
BaseRepresentation
bin110100010011000111011000…
…111000100001110101100000
31010011101221020022101221020220
4310103013120320201311200
5220122004110202100000
62133110021520203040
766306551222616243
oct6423073070416540
91104357208357226
10230012022300000
116731a607207326
1221969a54a69480
139b4606b36cbc5
1440b28d995525a
151b8d2195411a0
hexd131d8e21d60

230012022300000 has 288 divisors, whose sum is σ = 754744833739008. Its totient is φ = 61331160000000.

The previous prime is 230012022299987. The next prime is 230012022300061. The reversal of 230012022300000 is 3220210032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4365273655 + ... + 4365326345.

It is an arithmetic number, because the mean of its divisors is an integer number (2620641783816).

Almost surely, 2230012022300000 is an apocalyptic number.

230012022300000 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 230012022300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377372416869504).

230012022300000 is an abundant number, since it is smaller than the sum of its proper divisors (524732811439008).

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

230012022300000 is an equidigital number, since it uses as much as digits as its factorization.

230012022300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67280 (or 67252 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 230012022300000 its reverse (3220210032), we get a palindrome (230015242510032).

The spelling of 230012022300000 in words is "two hundred thirty trillion, twelve billion, twenty-two million, three hundred thousand".