Search a number
-
+
10332210420 = 22335723118843
BaseRepresentation
bin10011001111101100…
…10000010011110100
3222200001212200011000
421213312100103310
5132130021213140
64425131043300
7514020224310
oct114766202364
928601780130
1010332210420
114422299684
1220042a0530
13c8878539c
1470031cb40
15407130a30
hex267d904f4

10332210420 has 192 divisors, whose sum is σ = 38334320640. Its totient is φ = 2258948736.

The previous prime is 10332210419. The next prime is 10332210437. The reversal of 10332210420 is 2401223301.

10332210420 is a `hidden beast` number, since 1 + 0 + 3 + 32 + 210 + 420 = 666.

10332210420 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 a junction number, because it is equal to n+sod(n) for n = 10332210393 and 10332210402.

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 63 ways as a sum of consecutive naturals, for example, 27519 + ... + 146361.

It is an arithmetic number, because the mean of its divisors is an integer number (199657920).

Almost surely, 210332210420 is an apocalyptic number.

10332210420 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 10332210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19167160320).

10332210420 is an abundant number, since it is smaller than the sum of its proper divisors (28002110220).

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

10332210420 is a wasteful number, since it uses less digits than its factorization.

10332210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118891 (or 118883 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10332210420 its reverse (2401223301), we get a palindrome (12733433721).

The spelling of 10332210420 in words is "ten billion, three hundred thirty-two million, two hundred ten thousand, four hundred twenty".