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230010103323000 = 23325371113374311601
BaseRepresentation
bin110100010011000101100110…
…100000001101100101111000
31010011101202021120111210200200
4310103011212200031211320
5220121441142422314000
62133105103250002200
766306452531601150
oct6423054640154570
91104352246453620
10230010103323000
1167319811a7a520
12219695ba276360
139b45b23923760
1440b2796b4b760
151b8d155d35500
hexd1316680d978

230010103323000 has 3072 divisors, whose sum is σ = 1075197717135360. Its totient is φ = 42799104000000.

The previous prime is 230010103322947. The next prime is 230010103323019. The reversal of 230010103323000 is 323301010032.

230010103323000 is a `hidden beast` number, since 2 + 30 + 0 + 1 + 0 + 1 + 0 + 332 + 300 + 0 = 666.

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 polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 143666522200 + ... + 143666523800.

It is an arithmetic number, because the mean of its divisors is an integer number (349999256880).

Almost surely, 2230010103323000 is an apocalyptic number.

230010103323000 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 230010103323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537598858567680).

230010103323000 is an abundant number, since it is smaller than the sum of its proper divisors (845187613812360).

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

230010103323000 is a wasteful number, since it uses less digits than its factorization.

230010103323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 230010103323000 its reverse (323301010032), we get a palindrome (230333404333032).

The spelling of 230010103323000 in words is "two hundred thirty trillion, ten billion, one hundred three million, three hundred twenty-three thousand".