Search a number
-
+
30010241210430 = 23513831914879967
BaseRepresentation
bin1101101001011010011011…
…10001000101100000111110
310221020221200022100011010010
412310231031301011200332
512413141433222213210
6143454303043524050
76215111516264445
oct664551561054076
9127227608304103
1030010241210430
1196202a9886028
123448229089626
131398c520b2490
1475a70957bd5c
1537097de31920
hex1b4b4dc4583e

30010241210430 has 256 divisors, whose sum is σ = 79080407433216. Its totient is φ = 7244290183680.

The previous prime is 30010241210423. The next prime is 30010241210473. The reversal of 30010241210430 is 3401214201003.

It is a super-2 number, since 2×300102412104302 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30010241210397 and 30010241210406.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 3010955307 + ... + 3010965273.

It is an arithmetic number, because the mean of its divisors is an integer number (308907841536).

Almost surely, 230010241210430 is an apocalyptic number.

30010241210430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30010241210430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39540203716608).

30010241210430 is an abundant number, since it is smaller than the sum of its proper divisors (49070166222786).

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

30010241210430 is a wasteful number, since it uses less digits than its factorization.

30010241210430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10751.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 30010241210430 its reverse (3401214201003), we get a palindrome (33411455411433).

The spelling of 30010241210430 in words is "thirty trillion, ten billion, two hundred forty-one million, two hundred ten thousand, four hundred thirty".