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230241111100 = 2252711213211991
BaseRepresentation
bin1101011001101101110…
…0001000110000111100
3211000021220021022010021
43112123130020300330
512233013211023400
6253434334021524
722430406103450
oct3263334106074
9730256238107
10230241111100
1189710117600
12387573478a4
1318933633a60
14b202570660
155ec832871a
hex359b708c3c

230241111100 has 432 divisors, whose sum is σ = 679793379328. Its totient is φ = 65862720000.

The previous prime is 230241111077. The next prime is 230241111101. The reversal of 230241111100 is 1111142032.

230241111100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230241111101) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 232331605 + ... + 232332595.

Almost surely, 2230241111100 is an apocalyptic number.

230241111100 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 230241111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339896689664).

230241111100 is an abundant number, since it is smaller than the sum of its proper divisors (449552268228).

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

230241111100 is a wasteful number, since it uses less digits than its factorization.

230241111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 230241111100 its reverse (1111142032), we get a palindrome (231352253132).

The spelling of 230241111100 in words is "two hundred thirty billion, two hundred forty-one million, one hundred eleven thousand, one hundred".