Search a number
-
+
30112041120 = 2535711379309
BaseRepresentation
bin11100000010110100…
…010100100010100000
32212201120010011220020
4130002310110202200
5443132140303440
621455553313440
72114130061230
oct340264244240
985646104806
1030112041120
111185250a1a7
125a04565880
132abb663515
141659291cc0
15bb38ab3d0
hex702d148a0

30112041120 has 192 divisors, whose sum is σ = 109364048640. Its totient is φ = 6821756928.

The previous prime is 30112041119. The next prime is 30112041137. The reversal of 30112041120 is 2114021103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30112041120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340026 + ... + 419334.

It is an arithmetic number, because the mean of its divisors is an integer number (569604420).

Almost surely, 230112041120 is an apocalyptic number.

30112041120 is a gapful number since it is divisible by the number (30) 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 30112041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54682024320).

30112041120 is an abundant number, since it is smaller than the sum of its proper divisors (79252007520).

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

30112041120 is a wasteful number, since it uses less digits than its factorization.

30112041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79447 (or 79439 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 30112041120 its reverse (2114021103), we get a palindrome (32226062223).

The spelling of 30112041120 in words is "thirty billion, one hundred twelve million, forty-one thousand, one hundred twenty".