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230032011000 = 233531121494253
BaseRepresentation
bin1101011000111011111…
…0011110111011111000
3210222202022210220201010
43112032332132323320
512232101143323000
6253401504153520
722422256555251
oct3261676367370
9728668726633
10230032011000
1189613089600
12386b93088a0
13188cc21169c
14b1c289db28
155eb4cc2d50
hex358ef9eef8

230032011000 has 384 divisors, whose sum is σ = 794357928000. Its totient is φ = 55378048000.

The previous prime is 230032010987. The next prime is 230032011017. The reversal of 230032011000 is 110230032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54084874 + ... + 54089126.

Almost surely, 2230032011000 is an apocalyptic number.

230032011000 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 230032011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397178964000).

230032011000 is an abundant number, since it is smaller than the sum of its proper divisors (564325917000).

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

230032011000 is a wasteful number, since it uses less digits than its factorization.

230032011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448 (or 4423 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 230032011000 its reverse (110230032), we get a palindrome (230142241032).

The spelling of 230032011000 in words is "two hundred thirty billion, thirty-two million, eleven thousand".