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230333103000 = 2332537111337691
BaseRepresentation
bin1101011010000011101…
…1000011101110011000
3211000112022100222021200
43112200323003232120
512233210233244000
6253451421434200
722432604033430
oct3264073035630
9730468328250
10230333103000
1189758039470
123878210b960
1318949702530
14b2108792c0
155ed144a500
hex35a0ec3b98

230333103000 has 1536 divisors, whose sum is σ = 1075098286080. Its totient is φ = 42923520000.

The previous prime is 230333102957. The next prime is 230333103017. The reversal of 230333103000 is 301333032.

230333103000 is a `hidden beast` number, since 2 + 30 + 3 + 331 + 0 + 300 + 0 = 666.

230333103000 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 (18).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 333332655 + ... + 333333345.

It is an arithmetic number, because the mean of its divisors is an integer number (699933780).

Almost surely, 2230333103000 is an apocalyptic number.

230333103000 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 230333103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537549143040).

230333103000 is an abundant number, since it is smaller than the sum of its proper divisors (844765183080).

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

230333103000 is a wasteful number, since it uses less digits than its factorization.

230333103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 230333103000 its reverse (301333032), we get a palindrome (230634436032).

It can be divided in two parts, 230333 and 103000, that added together give a palindrome (333333).

The spelling of 230333103000 in words is "two hundred thirty billion, three hundred thirty-three million, one hundred three thousand".