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10420008300 = 223252133128729
BaseRepresentation
bin10011011010001010…
…01011010101101100
3222220012002021012100
421231011023111230
5132320010231200
64441544535100
7516134415642
oct115505132554
928805067170
1010420008300
114467906509
122029781490
13ca0a15bb0
1470bc55192
1540ebc4d00
hex26d14b56c

10420008300 has 216 divisors, whose sum is σ = 36309203840. Its totient is φ = 2482099200.

The previous prime is 10420008289. The next prime is 10420008301. The reversal of 10420008300 is 380002401.

It is a happy number.

10420008300 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 (18).

It is not an unprimeable number, because it can be changed into a prime (10420008301) 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 71 ways as a sum of consecutive naturals, for example, 348336 + ... + 377064.

Almost surely, 210420008300 is an apocalyptic number.

10420008300 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 10420008300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18154601920).

10420008300 is an abundant number, since it is smaller than the sum of its proper divisors (25889195540).

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

10420008300 is a wasteful number, since it uses less digits than its factorization.

10420008300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28793 (or 28783 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 10420008300 in words is "ten billion, four hundred twenty million, eight thousand, three hundred".