Search a number
-
+
30023213220000 = 2533547111367829
BaseRepresentation
bin1101101001110010100101…
…11101011000000010100000
310221022012011100110111221000
412310321102331120002200
512413400020041020000
6143504250155032000
76216051132453360
oct664712275300240
9127265140414830
1030023213220000
1196258561828a0
12344a84943b600
13139a23b733aa0
1475b1ba2dc9a0
15370e8cba5000
hex1b4e52f580a0

30023213220000 has 3840 divisors, whose sum is σ = 149292451123200. Its totient is φ = 5665904640000.

The previous prime is 30023213219981. The next prime is 30023213220037. The reversal of 30023213220000 is 2231232003.

It is a happy number.

30023213220000 is a `hidden beast` number, since 300 + 2 + 32 + 132 + 200 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 36216179586 + ... + 36216180414.

It is an arithmetic number, because the mean of its divisors is an integer number (38878242480).

Almost surely, 230023213220000 is an apocalyptic number.

30023213220000 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 30023213220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74646225561600).

30023213220000 is an abundant number, since it is smaller than the sum of its proper divisors (119269237903200).

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

30023213220000 is a wasteful number, since it uses less digits than its factorization.

30023213220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30023213220000 its reverse (2231232003), we get a palindrome (30025444452003).

The spelling of 30023213220000 in words is "thirty trillion, twenty-three billion, two hundred thirteen million, two hundred twenty thousand".