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10010244000 = 253532336269
BaseRepresentation
bin10010101001010100…
…00011001110100000
3221211122001002020210
421110222003032200
5131000110302000
64333150134120
7503030445561
oct112452031640
927748032223
1010010244000
114277581529
121b344b1340
13c36b66103
146ad66c168
153d8c33350
hex254a833a0

10010244000 has 192 divisors, whose sum is σ = 34220309760. Its totient is φ = 2553267200.

The previous prime is 10010243963. The next prime is 10010244001. The reversal of 10010244000 is 44201001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10010244001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257866 + ... + 294134.

It is an arithmetic number, because the mean of its divisors is an integer number (178230780).

Almost surely, 210010244000 is an apocalyptic number.

10010244000 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 10010244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17110154880).

10010244000 is an abundant number, since it is smaller than the sum of its proper divisors (24210065760).

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

10010244000 is a wasteful number, since it uses less digits than its factorization.

10010244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36320 (or 36302 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10010244000 its reverse (44201001), we get a palindrome (10054445001).

The spelling of 10010244000 in words is "ten billion, ten million, two hundred forty-four thousand".