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10023302112 = 2532323319483
BaseRepresentation
bin10010101010110111…
…10111001111100000
3221212112121111121120
421111123313033200
5131011431131422
64334334052240
7503246443065
oct112533671740
927775544546
1010023302112
11428399025a
121b3894a080
13c397888c5
146b12aac6c
153d9e6245c
hex2556f73e0

10023302112 has 96 divisors (see below), whose sum is σ = 27574380288. Its totient is φ = 3181956096.

The previous prime is 10023302111. The next prime is 10023302171. The reversal of 10023302112 is 21120332001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10023302091 and 10023302100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023302111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504723 + ... + 524205.

It is an arithmetic number, because the mean of its divisors is an integer number (287233128).

Almost surely, 210023302112 is an apocalyptic number.

10023302112 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 10023302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13787190144).

10023302112 is an abundant number, since it is smaller than the sum of its proper divisors (17551078176).

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

10023302112 is a wasteful number, since it uses less digits than its factorization.

10023302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19752 (or 19744 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10023302112 its reverse (21120332001), we get a palindrome (31143634113).

The spelling of 10023302112 in words is "ten billion, twenty-three million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 233 276 368 466 552 699 736 932 1104 1398 1864 2208 2796 3728 5359 5592 7456 10718 11184 16077 19483 21436 22368 32154 38966 42872 58449 64308 77932 85744 116898 128616 155864 171488 233796 257232 311728 448109 467592 514464 623456 896218 935184 1344327 1792436 1870368 2688654 3584872 4539539 5377308 7169744 9079078 10754616 13618617 14339488 18158156 21509232 27237234 36316312 43018464 54474468 72632624 104409397 108948936 145265248 208818794 217897872 313228191 417637588 435795744 626456382 835275176 1252912764 1670550352 2505825528 3341100704 5011651056 10023302112