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10311330012 = 2234996312729
BaseRepresentation
bin10011001101001101…
…00110100011011100
3222121121120211121120
421212212212203130
5132104200030022
64423103330540
7513344600424
oct114646464334
928547524546
1010311330012
114411527945
121bb92b0a50
13c84354309
146db645484
154053a8d5c
hex2669a68dc

10311330012 has 48 divisors (see below), whose sum is σ = 24155040000. Its totient is φ = 3423530880.

The previous prime is 10311329999. The next prime is 10311330013. The reversal of 10311330012 is 21003311301.

10311330012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10311329973 and 10311330000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311330013) 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 15 ways as a sum of consecutive naturals, for example, 3777064 + ... + 3779792.

It is an arithmetic number, because the mean of its divisors is an integer number (503230000).

Almost surely, 210311330012 is an apocalyptic number.

10311330012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10311330012 is an abundant number, since it is smaller than the sum of its proper divisors (13843709988).

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

10311330012 is a wasteful number, since it uses less digits than its factorization.

10311330012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10311330012 its reverse (21003311301), we get a palindrome (31314641313).

The spelling of 10311330012 in words is "ten billion, three hundred eleven million, three hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 499 631 998 1262 1497 1893 1996 2524 2729 2994 3786 5458 5988 7572 8187 10916 16374 32748 314869 629738 944607 1259476 1361771 1721999 1889214 2723542 3443998 3778428 4085313 5165997 5447084 6887996 8170626 10331994 16341252 20663988 859277501 1718555002 2577832503 3437110004 5155665006 10311330012