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10312323012 = 223217109154589
BaseRepresentation
bin10011001101010100…
…11000111111000100
3222121200110021202100
421212222120333010
5132104423314022
64423140512100
7513356204445
oct114652307704
928550407670
1010312323012
114412045a02
121bb96ab630
13c846112a4
146db8232cc
154055031ac
hex266a98fc4

10312323012 has 72 divisors (see below), whose sum is σ = 27854026200. Its totient is φ = 3205536768.

The previous prime is 10312322989. The next prime is 10312323053. The reversal of 10312323012 is 21032321301.

10312323012 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 4 ways, for example, as 4171093056 + 6141229956 = 64584^2 + 78366^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 10587 + ... + 144002.

It is an arithmetic number, because the mean of its divisors is an integer number (386861475).

Almost surely, 210312323012 is an apocalyptic number.

10312323012 is a gapful number since it is divisible by the number (12) 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 10312323012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927013100).

10312323012 is an abundant number, since it is smaller than the sum of its proper divisors (17541703188).

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

10312323012 is a wasteful number, since it uses less digits than its factorization.

10312323012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154725 (or 154720 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10312323012 its reverse (21032321301), we get a palindrome (31344644313).

The spelling of 10312323012 in words is "ten billion, three hundred twelve million, three hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 109 153 204 218 306 327 436 612 654 981 1308 1853 1962 3706 3924 5559 7412 11118 16677 22236 33354 66708 154589 309178 463767 618356 927534 1391301 1855068 2628013 2782602 5256026 5565204 7884039 10512052 15768078 16850201 23652117 31536156 33700402 47304234 50550603 67400804 94608468 101101206 151651809 202202412 286453417 303303618 572906834 606607236 859360251 1145813668 1718720502 2578080753 3437441004 5156161506 10312323012