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10110302496 = 2533721912569
BaseRepresentation
bin10010110101001111…
…01111100100100000
3222002121022120201000
421122213233210200
5131201214134441
64351122512000
7505354103400
oct113247574440
928077276630
1010110302496
1143190029a8
121b61b05600
13c517ca418
146bca76800
153e28ea2b6
hex25a9ef920

10110302496 has 288 divisors, whose sum is σ = 36111096000. Its totient is φ = 2736405504.

The previous prime is 10110302387. The next prime is 10110302497. The reversal of 10110302496 is 69420301101.

10110302496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10110302497) 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, 798100 + ... + 810668.

It is an arithmetic number, because the mean of its divisors is an integer number (125385750).

Almost surely, 210110302496 is an apocalyptic number.

10110302496 is a gapful number since it is divisible by the number (16) 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 10110302496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18055548000).

10110302496 is an abundant number, since it is smaller than the sum of its proper divisors (26000793504).

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

10110302496 is a wasteful number, since it uses less digits than its factorization.

10110302496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12621 (or 12600 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 10110302496 its reverse (69420301101), we get a palindrome (79530603597).

The spelling of 10110302496 in words is "ten billion, one hundred ten million, three hundred two thousand, four hundred ninety-six".