Search a number
-
+
10331333012 = 227111324147103
BaseRepresentation
bin10011001111100101…
…11010000110010100
3222200000020002120102
421213302322012110
5132124310124022
64425100153232
7514006611260
oct114762720624
928600202512
1010331333012
11442184a450
122003b38818
13c88538c00
147001710a0
1540700aa92
hex267cba194

10331333012 has 288 divisors, whose sum is σ = 25783640064. Its totient is φ = 3513369600.

The previous prime is 10331332997. The next prime is 10331333021. The reversal of 10331333012 is 21033313301.

10331333012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 100304153 + ... + 100304255.

It is an arithmetic number, because the mean of its divisors is an integer number (89526528).

Almost surely, 210331333012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10331333012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12891820032).

10331333012 is an abundant number, since it is smaller than the sum of its proper divisors (15452307052).

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

10331333012 is a wasteful number, since it uses less digits than its factorization.

10331333012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 10331333012 its reverse (21033313301), we get a palindrome (31364646313).

It can be divided in two parts, 10331 and 333012, that added together give a palindrome (343343).

The spelling of 10331333012 in words is "ten billion, three hundred thirty-one million, three hundred thirty-three thousand, twelve".