Search a number
-
+
30013033200 = 24352412712251
BaseRepresentation
bin11011111100111010…
…101000101011110000
32212110122211001120020
4123330322220223300
5442431314030300
621442055243440
72111515400343
oct337472505360
985418731506
1030013033200
1111801636077
125997379580
132aa3ca9457
14164a07c45a
15ba9d508a0
hex6fcea8af0

30013033200 has 240 divisors, whose sum is σ = 98894003712. Its totient is φ = 7776000000.

The previous prime is 30013033199. The next prime is 30013033207. The reversal of 30013033200 is 233031003.

It is a tau number, because it is divible by the number of its divisors (240).

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 30013033200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30013033207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13332075 + ... + 13334325.

Almost surely, 230013033200 is an apocalyptic number.

30013033200 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 30013033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49447001856).

30013033200 is an abundant number, since it is smaller than the sum of its proper divisors (68880970512).

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

30013033200 is a wasteful number, since it uses less digits than its factorization.

30013033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 30013033200 its reverse (233031003), we get a palindrome (30246064203).

The spelling of 30013033200 in words is "thirty billion, thirteen million, thirty-three thousand, two hundred".