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10032323220 = 223251729131863
BaseRepresentation
bin10010101011111100…
…10001101010010100
3221220011120211020200
421111332101222110
5131021233320340
64335255300500
7503416224513
oct112576215224
927804524220
1010032323220
114288a91a17
121b3b97a730
13c3b5c6a3a
146b257867a
153dab45330
hex255f91a94

10032323220 has 288 divisors, whose sum is σ = 33625912320. Its totient is φ = 2409738240.

The previous prime is 10032323183. The next prime is 10032323221. The reversal of 10032323220 is 2232323001.

It is a happy number.

10032323220 is a `hidden beast` number, since 100 + 323 + 23 + 220 = 666.

10032323220 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 = 10032323193 and 10032323202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032323221) 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 95 ways as a sum of consecutive naturals, for example, 11624509 + ... + 11625371.

It is an arithmetic number, because the mean of its divisors is an integer number (116756640).

Almost surely, 210032323220 is an apocalyptic number.

10032323220 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 10032323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16812956160).

10032323220 is an abundant number, since it is smaller than the sum of its proper divisors (23593589100).

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

10032323220 is a wasteful number, since it uses less digits than its factorization.

10032323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10032323220 its reverse (2232323001), we get a palindrome (12264646221).

The spelling of 10032323220 in words is "ten billion, thirty-two million, three hundred twenty-three thousand, two hundred twenty".