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10563123312 = 2432710479289
BaseRepresentation
bin10011101011001110…
…00111100001110000
31000021011101021002100
421311213013201300
5133113124421222
64504100220400
7522523031610
oct116547074160
930234337070
1010563123312
114530675985
12206969a700
13cc4574031
14722c6aa40
1541c5444ac
hex2759c7870

10563123312 has 60 divisors (see below), whose sum is σ = 33785230960. Its totient is φ = 3018034944.

The previous prime is 10563123253. The next prime is 10563123323. The reversal of 10563123312 is 21332136501.

10563123312 is a `hidden beast` number, since 1 + 0 + 5 + 631 + 23 + 3 + 1 + 2 = 666.

10563123312 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 2×105631233122 (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 5238637 + ... + 5240652.

Almost surely, 210563123312 is an apocalyptic number.

10563123312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10563123312 is an abundant number, since it is smaller than the sum of its proper divisors (23222107648).

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

10563123312 is a wasteful number, since it uses less digits than its factorization.

10563123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10479310 (or 10479301 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 10563123312 its reverse (21332136501), we get a palindrome (31895259813).

The spelling of 10563123312 in words is "ten billion, five hundred sixty-three million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 10479289 20958578 31437867 41917156 62875734 73355023 83834312 94313601 125751468 146710046 167668624 188627202 220065069 251502936 293420092 377254404 440130138 503005872 586840184 660195207 754508808 880260276 1173680368 1320390414 1509017616 1760520552 2640780828 3521041104 5281561656 10563123312