Search a number
-
+
12301100300160 = 273257977312269
BaseRepresentation
bin1011001100000001001010…
…1101101011011110000000
31121112222021211102011121100
42303000102231223132000
53103020123134101120
642055014130254400
72406503506231140
oct263002255533600
947488254364540
1012301100300160
113a1295a480981
121468051727400
136b2cb1475979
1430753acda920
15164ea6ec4490
hexb3012b6b780

12301100300160 has 384 divisors, whose sum is σ = 48595257547200. Its totient is φ = 2808793202688.

The previous prime is 12301100300143. The next prime is 12301100300161. The reversal of 12301100300160 is 6100300110321.

12301100300160 is a `hidden beast` number, since 1 + 2 + 301 + 1 + 0 + 0 + 300 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301100300161) 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 47 ways as a sum of consecutive naturals, for example, 39236506 + ... + 39548774.

Almost surely, 212301100300160 is an apocalyptic number.

12301100300160 is a gapful number since it is divisible by the number (10) 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 12301100300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24297628773600).

12301100300160 is an abundant number, since it is smaller than the sum of its proper divisors (36294157247040).

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

12301100300160 is a wasteful number, since it uses less digits than its factorization.

12301100300160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313278 (or 313263 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12301100300160 its reverse (6100300110321), we get a palindrome (18401400410481).

The spelling of 12301100300160 in words is "twelve trillion, three hundred one billion, one hundred million, three hundred thousand, one hundred sixty".