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233312010030 = 2325112411812887
BaseRepresentation
bin1101100101001001111…
…0101011111100101110
3211022012220201010111200
43121102132223330232
512310310333310110
6255103154030330
722566455235531
oct3312236537456
9738186633450
10233312010030
118aa46602400
12392738783a6
1319002910008
14b414350a18
156107c246c0
hex36527abf2e

233312010030 has 288 divisors, whose sum is σ = 687045288384. Its totient is φ = 54857088000.

The previous prime is 233312010013. The next prime is 233312010031. The reversal of 233312010030 is 30010213332.

233312010030 is digitally balanced in base 3, 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 Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 233312009985 and 233312010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233312010031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80813247 + ... + 80816133.

It is an arithmetic number, because the mean of its divisors is an integer number (2385573918).

Almost surely, 2233312010030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233312010030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343522644192).

233312010030 is an abundant number, since it is smaller than the sum of its proper divisors (453733278354).

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

233312010030 is a wasteful number, since it uses less digits than its factorization.

233312010030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3130 counting only the distinct ones).

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

Adding to 233312010030 its reverse (30010213332), we get a palindrome (263322223362).

The spelling of 233312010030 in words is "two hundred thirty-three billion, three hundred twelve million, ten thousand, thirty".