Search a number
-
+
230103120213000 = 23325337897764049
BaseRepresentation
bin110100010100011100001110…
…101111011111010000001000
31010011201122101002012101212200
4310110130032233133100020
5220130002142233304000
62133215525240440200
766316254553244316
oct6424341657372010
91104648332171780
10230103120213000
1167355204647731
1221983639479060
139b51828791c38
1440b709c5ab0b6
151b9079be90500
hexd1470ebdf408

230103120213000 has 384 divisors, whose sum is σ = 807743811420000. Its totient is φ = 59031609753600.

The previous prime is 230103120212897. The next prime is 230103120213067. The reversal of 230103120213000 is 312021301032.

230103120213000 is a `hidden beast` number, since 2 + 30 + 1 + 0 + 312 + 0 + 21 + 300 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4062780421956 + 226040339791044 = 2015634^2 + 15034638^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 25754976 + ... + 33519024.

Almost surely, 2230103120213000 is an apocalyptic number.

230103120213000 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 230103120213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403871905710000).

230103120213000 is an abundant number, since it is smaller than the sum of its proper divisors (577640691207000).

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

230103120213000 is a wasteful number, since it uses less digits than its factorization.

230103120213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7764202 (or 7764185 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230103120213000 its reverse (312021301032), we get a palindrome (230415141514032).

The spelling of 230103120213000 in words is "two hundred thirty trillion, one hundred three billion, one hundred twenty million, two hundred thirteen thousand".