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10011123312 = 2431091913441
BaseRepresentation
bin10010101001011010…
…11001111001110000
3221211200200202102220
421110231121321300
5131000321421222
64333221041040
7503041100301
oct112455317160
927750622386
1010011123312
114278022133
121b34856180
13c370b3408
146ad81a7a8
153d8d58b5c
hex254b59e70

10011123312 has 40 divisors (see below), whose sum is σ = 26099348880. Its totient is φ = 3306424320.

The previous prime is 10011123293. The next prime is 10011123323. The reversal of 10011123312 is 21332111001.

It is a happy number.

10011123312 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 = 10011123291 and 10011123300.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 951489 + ... + 961952.

It is an arithmetic number, because the mean of its divisors is an integer number (652483722).

Almost surely, 210011123312 is an apocalyptic number.

10011123312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011123312 is an abundant number, since it is smaller than the sum of its proper divisors (16088225568).

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

10011123312 is a wasteful number, since it uses less digits than its factorization.

10011123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913561 (or 1913555 counting only the distinct ones).

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

Adding to 10011123312 its reverse (21332111001), we get a palindrome (31343234313).

The spelling of 10011123312 in words is "ten billion, eleven million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2616 5232 1913441 3826882 5740323 7653764 11480646 15307528 22961292 30615056 45922584 91845168 208565069 417130138 625695207 834260276 1251390414 1668520552 2502780828 3337041104 5005561656 10011123312