Search a number
-
+
230221100100 = 223523127310939
BaseRepresentation
bin1101011001101000111…
…1110011010001000100
3211000020111121122012010
43112122033303101010
512232443100200400
6253432341054220
722430044030365
oct3263217632104
9730214548163
10230221100100
11896aa899a92
12387506b7370
131892c448624
14b1dda41b6c
155ec66c4450
hex359a3f3444

230221100100 has 216 divisors, whose sum is σ = 697779193440. Its totient is φ = 58592678400.

The previous prime is 230221100093. The next prime is 230221100111. The reversal of 230221100100 is 1001122032.

230221100100 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 (12).

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 71 ways as a sum of consecutive naturals, for example, 21040431 + ... + 21051369.

Almost surely, 2230221100100 is an apocalyptic number.

230221100100 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 230221100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348889596720).

230221100100 is an abundant number, since it is smaller than the sum of its proper divisors (467558093340).

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

230221100100 is a wasteful number, since it uses less digits than its factorization.

230221100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11091 (or 11053 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 230221100100 its reverse (1001122032), we get a palindrome (231222222132).

The spelling of 230221100100 in words is "two hundred thirty billion, two hundred twenty-one million, one hundred thousand, one hundred".