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10332123208 = 2311289119929
BaseRepresentation
bin10011001111101011…
…11011000001001000
3222200001201020111221
421213311323001020
5132130010420313
64425125131424
7514016412121
oct114765730110
928601636457
1010332123208
11442223a100
122004259b74
13c88754794
147002d9048
15407114c8d
hex267d7b048

10332123208 has 48 divisors (see below), whose sum is σ = 21533431500. Its totient is φ = 4643612160.

The previous prime is 10332123203. The next prime is 10332123211. The reversal of 10332123208 is 80232123301.

10332123208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9451339524 + 880783684 = 97218^2 + 29678^2 .

It is a super-2 number, since 2×103321232082 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10332123203) 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 11 ways as a sum of consecutive naturals, for example, 26188 + ... + 146116.

Almost surely, 210332123208 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 10332123208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10766715750).

10332123208 is an abundant number, since it is smaller than the sum of its proper divisors (11201308292).

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

10332123208 is a wasteful number, since it uses less digits than its factorization.

10332123208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120046 (or 120031 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10332123208 its reverse (80232123301), we get a palindrome (90564246509).

The spelling of 10332123208 in words is "ten billion, three hundred thirty-two million, one hundred twenty-three thousand, two hundred eight".

Divisors: 1 2 4 8 11 22 44 88 89 121 178 242 356 484 712 968 979 1958 3916 7832 10769 21538 43076 86152 119929 239858 479716 959432 1319219 2638438 5276876 10553752 10673681 14511409 21347362 29022818 42694724 58045636 85389448 116091272 117410491 234820982 469641964 939283928 1291515401 2583030802 5166061604 10332123208