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30532240200 = 233527116411031
BaseRepresentation
bin11100011011110111…
…010000001101001000
32220210211210111200010
4130123313100031020
51000012223141300
622005403511520
72130421521360
oct343367201510
986724714603
1030532240200
1111a48720a70
125b012285a0
132b57727a27
141698dd39a0
15bda70ea50
hex71bdd0348

30532240200 has 384 divisors, whose sum is σ = 118303856640. Its totient is φ = 6328320000.

The previous prime is 30532240199. The next prime is 30532240229. The reversal of 30532240200 is 204223503.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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, 29613685 + ... + 29614715.

It is an arithmetic number, because the mean of its divisors is an integer number (308082960).

Almost surely, 230532240200 is an apocalyptic number.

30532240200 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 30532240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59151928320).

30532240200 is an abundant number, since it is smaller than the sum of its proper divisors (87771616440).

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

30532240200 is a wasteful number, since it uses less digits than its factorization.

30532240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

Adding to 30532240200 its reverse (204223503), we get a palindrome (30736463703).

The spelling of 30532240200 in words is "thirty billion, five hundred thirty-two million, two hundred forty thousand, two hundred".