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10010433332424 = 23378917337910211
BaseRepresentation
bin1001000110101011110001…
…0100101010010011001000
31022102222200022101110021210
42101222330110222103020
52303002331413114144
633142421331333120
72052141604246140
oct221527424522310
938388608343253
1010010433332424
11320a4457100a8
121158109a511a0
13577c97857cc5
14268716a51920
151255dad9aab9
hex91abc52a4c8

10010433332424 has 256 divisors, whose sum is σ = 29169393408000. Its totient is φ = 2803947632640.

The previous prime is 10010433332423. The next prime is 10010433332447. The reversal of 10010433332424 is 42423333401001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10010433332391 and 10010433332400.

It is not an unprimeable number, because it can be changed into a prime (10010433332423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 980352679 + ... + 980362889.

It is an arithmetic number, because the mean of its divisors is an integer number (113942943000).

Almost surely, 210010433332424 is an apocalyptic number.

10010433332424 is a gapful number since it is divisible by the number (14) 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 10010433332424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14584696704000).

10010433332424 is an abundant number, since it is smaller than the sum of its proper divisors (19158960075576).

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

10010433332424 is a wasteful number, since it uses less digits than its factorization.

10010433332424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10868 (or 10864 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 10010433332424 its reverse (42423333401001), we get a palindrome (52433766733425).

The spelling of 10010433332424 in words is "ten trillion, ten billion, four hundred thirty-three million, three hundred thirty-two thousand, four hundred twenty-four".