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13115224000 = 26532576379
BaseRepresentation
bin11000011011011101…
…00110111111000000
31020212000121102002001
430031232212333000
5203324444132000
610005224433344
7643002364444
oct141556467700
936760542061
1013115224000
1156202249aa
122660318854
131310215a98
148c5ba0824
1551b61246a
hex30dba6fc0

13115224000 has 112 divisors (see below), whose sum is σ = 32611344480. Its totient is φ = 5224857600.

The previous prime is 13115223991. The next prime is 13115224007. The reversal of 13115224000 is 42251131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13115224007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2052811 + ... + 2059189.

Almost surely, 213115224000 is an apocalyptic number.

13115224000 is a gapful number since it is divisible by the number (10) 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 13115224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16305672240).

13115224000 is an abundant number, since it is smaller than the sum of its proper divisors (19496120480).

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

13115224000 is an equidigital number, since it uses as much as digits as its factorization.

13115224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6663 (or 6643 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 13115224000 its reverse (42251131), we get a palindrome (13157475131).

The spelling of 13115224000 in words is "thirteen billion, one hundred fifteen million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 257 320 400 500 514 800 1000 1028 1285 1600 2000 2056 2570 4000 4112 5140 6379 6425 8000 8224 10280 12758 12850 16448 20560 25516 25700 31895 32125 41120 51032 51400 63790 64250 82240 102064 102800 127580 128500 159475 204128 205600 255160 257000 318950 408256 411200 510320 514000 637900 797375 1020640 1028000 1275800 1594750 1639403 2041280 2056000 2551600 3189500 3278806 5103200 6379000 6557612 8197015 10206400 12758000 13115224 16394030 25516000 26230448 32788060 40985075 51032000 52460896 65576120 81970150 104921792 131152240 163940300 204925375 262304480 327880600 409850750 524608960 655761200 819701500 1311522400 1639403000 2623044800 3278806000 6557612000 13115224000