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10010422240 = 255713412409
BaseRepresentation
bin10010101001010101…
…01110101111100000
3221211122101010202021
421110222232233200
5131000132002430
64333154031224
7503032120330
oct112452565740
927748333667
1010010422240
114277693435
121b34578514
13c36bc9290
146ad6b70c0
153d8c6b07a
hex254aaebe0

10010422240 has 288 divisors, whose sum is σ = 29907420480. Its totient is φ = 3083304960.

The previous prime is 10010422211. The next prime is 10010422243. The reversal of 10010422240 is 4222401001.

10010422240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010422243) 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 47 ways as a sum of consecutive naturals, for example, 24475156 + ... + 24475564.

It is an arithmetic number, because the mean of its divisors is an integer number (103845210).

Almost surely, 210010422240 is an apocalyptic number.

10010422240 is a gapful number since it is divisible by the number (10) 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 10010422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14953710240).

10010422240 is an abundant number, since it is smaller than the sum of its proper divisors (19896998240).

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

10010422240 is a wasteful number, since it uses less digits than its factorization.

10010422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10010422240 its reverse (4222401001), we get a palindrome (14232823241).

The spelling of 10010422240 in words is "ten billion, ten million, four hundred twenty-two thousand, two hundred forty".