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13200023512 = 2313288311057
BaseRepresentation
bin11000100101100100…
…00101111111011000
31021001221011200010201
430102302011333120
5204013201223022
610021454151544
7645052230364
oct142262057730
937057150121
1013200023512
115664084045
1226847b25b4
131324966900
148d31562a4
15523cb3127
hex312c85fd8

13200023512 has 48 divisors (see below), whose sum is σ = 26833121640. Its totient is φ = 6084868608.

The previous prime is 13200023509. The next prime is 13200023521. The reversal of 13200023512 is 21532000231.

13200023512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13200023512.

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, 1188288 + ... + 1199344.

Almost surely, 213200023512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200023512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13416560820).

13200023512 is an abundant number, since it is smaller than the sum of its proper divisors (13633098128).

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

13200023512 is a wasteful number, since it uses less digits than its factorization.

13200023512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11972 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 13200023512 its reverse (21532000231), we get a palindrome (34732023743).

The spelling of 13200023512 in words is "thirteen billion, two hundred million, twenty-three thousand, five hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 883 1352 1766 3532 7064 11057 11479 22114 22958 44228 45916 88456 91832 143741 149227 287482 298454 574964 596908 1149928 1193816 1868633 3737266 7474532 9763331 14949064 19526662 39053324 78106648 126923303 253846606 507693212 1015386424 1650002939 3300005878 6600011756 13200023512