Search a number
-
+
30032231130000 = 2432541183365489
BaseRepresentation
bin1101101010000011011000…
…11101111110001110010000
310221100001102211020210211200
412311001230131332032100
512414022002132130000
6143512341100111200
76216520453440231
oct665015435761620
9127301384223750
1030032231130000
119629663597080
123450545535500
13139b047b150c8
1475b7d3c57088
1537131971d500
hex1b506c77e390

30032231130000 has 600 divisors, whose sum is σ = 115955702422560. Its totient is φ = 7192803840000.

The previous prime is 30032231129987. The next prime is 30032231130037. The reversal of 30032231130000 is 3113223003.

30032231130000 is a `hidden beast` number, since 3 + 0 + 0 + 322 + 311 + 30 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 81987256 + ... + 82352744.

Almost surely, 230032231130000 is an apocalyptic number.

30032231130000 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 30032231130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57977851211280).

30032231130000 is an abundant number, since it is smaller than the sum of its proper divisors (85923471292560).

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

30032231130000 is a wasteful number, since it uses less digits than its factorization.

30032231130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365617 (or 365593 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30032231130000 its reverse (3113223003), we get a palindrome (30035344353003).

The spelling of 30032231130000 in words is "thirty trillion, thirty-two billion, two hundred thirty-one million, one hundred thirty thousand".