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10332111312 = 2432271264763
BaseRepresentation
bin10011001111101011…
…11000000111010000
3222200001200122012100
421213311320013100
5132130010030222
64425125000400
7514016332335
oct114765700720
928601618170
1010332111312
114422231176
122004253100
13c8874c243
147002d498c
154071114ac
hex267d781d0

10332111312 has 60 divisors (see below), whose sum is σ = 29022370624. Its totient is φ = 3431315520.

The previous prime is 10332111281. The next prime is 10332111319. The reversal of 10332111312 is 21311123301.

10332111312 is a `hidden beast` number, since 10 + 332 + 1 + 11 + 312 = 666.

10332111312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103321113122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332111319) 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, 93358 + ... + 171405.

Almost surely, 210332111312 is an apocalyptic number.

10332111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10332111312 is an abundant number, since it is smaller than the sum of its proper divisors (18690259312).

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

10332111312 is a wasteful number, since it uses less digits than its factorization.

10332111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265048 (or 265039 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10332111312 its reverse (21311123301), we get a palindrome (31643234613).

The spelling of 10332111312 in words is "ten billion, three hundred thirty-two million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 271 542 813 1084 1626 2168 2439 3252 4336 4878 6504 9756 13008 19512 39024 264763 529526 794289 1059052 1588578 2118104 2382867 3177156 4236208 4765734 6354312 9531468 12708624 19062936 38125872 71750773 143501546 215252319 287003092 430504638 574006184 645756957 861009276 1148012368 1291513914 1722018552 2583027828 3444037104 5166055656 10332111312