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30493036200 = 233521179233251
BaseRepresentation
bin11100011001100001…
…101100111010101000
32220201010000201220010
4130121201230322220
5444422204124300
622001443331520
72126434350114
oct343141547250
986633021803
1030493036200
1111a28584470
125ab0080ba0
132b4c57c5b3
141693b0a744
15bd7068a50
hex71986cea8

30493036200 has 384 divisors, whose sum is σ = 105293260800. Its totient is φ = 7238400000.

The previous prime is 30493036157. The next prime is 30493036201. The reversal of 30493036200 is 263039403.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (30493036201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121486075 + ... + 121486325.

It is an arithmetic number, because the mean of its divisors is an integer number (274201200).

Almost surely, 230493036200 is an apocalyptic number.

30493036200 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 30493036200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52646630400).

30493036200 is an abundant number, since it is smaller than the sum of its proper divisors (74800224600).

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

30493036200 is a wasteful number, since it uses less digits than its factorization.

30493036200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 3049303 and 6200, that added together give a palindrome (3055503).

The spelling of 30493036200 in words is "thirty billion, four hundred ninety-three million, thirty-six thousand, two hundred".