Search a number
-
+
230103110000 = 2454192941761
BaseRepresentation
bin1101011001001100110…
…1101101000101110000
3210222221021121010012102
43112103031231011300
512232222344010000
6253412524115532
722424112110051
oct3262315550560
9728837533172
10230103110000
118964a230305
1238719095ba8
1318910b764ba
14b1cc0ca728
155ebb1693d5
hex359336d170

230103110000 has 200 divisors, whose sum is σ = 606659869200. Its totient is φ = 84188160000.

The previous prime is 230103109979. The next prime is 230103110009. The reversal of 230103110000 is 11301032.

230103110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230103110009) 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 39 ways as a sum of consecutive naturals, for example, 5489120 + ... + 5530880.

It is an arithmetic number, because the mean of its divisors is an integer number (3033299346).

Almost surely, 2230103110000 is an apocalyptic number.

230103110000 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 230103110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303329934600).

230103110000 is an abundant number, since it is smaller than the sum of its proper divisors (376556759200).

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

230103110000 is a wasteful number, since it uses less digits than its factorization.

230103110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41837 (or 41816 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 230103110000 its reverse (11301032), we get a palindrome (230114411032).

The spelling of 230103110000 in words is "two hundred thirty billion, one hundred three million, one hundred ten thousand".