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10332110112 = 253589718251
BaseRepresentation
bin10011001111101011…
…10111110100100000
3222200001200120112220
421213311313310200
5132130010010422
64425124551040
7514016326002
oct114765676440
928601616486
1010332110112
114422230285
122004252480
13c8874b82c
147002d4372
15407110e5c
hex267d77d20

10332110112 has 48 divisors (see below), whose sum is σ = 27127874592. Its totient is φ = 3443264000.

The previous prime is 10332110101. The next prime is 10332110119. The reversal of 10332110112 is 21101123301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10332110091 and 10332110100.

It is not an unprimeable number, because it can be changed into a prime (10332110119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 556987 + ... + 575237.

It is an arithmetic number, because the mean of its divisors is an integer number (565164054).

Almost surely, 210332110112 is an apocalyptic number.

10332110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10332110112 is an abundant number, since it is smaller than the sum of its proper divisors (16795764480).

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

10332110112 is a wasteful number, since it uses less digits than its factorization.

10332110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24161 (or 24153 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10332110112 its reverse (21101123301), we get a palindrome (31433233413).

The spelling of 10332110112 in words is "ten billion, three hundred thirty-two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5897 11794 17691 18251 23588 35382 36502 47176 54753 70764 73004 94352 109506 141528 146008 188704 219012 283056 292016 438024 566112 584032 876048 1752096 107626147 215252294 322878441 430504588 645756882 861009176 1291513764 1722018352 2583027528 3444036704 5166055056 10332110112