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13150304000 = 28531313137
BaseRepresentation
bin11000011111101000…
…11011011100000000
31020221110121122210022
430033310123130000
5203412434212000
610012520353012
7643606511501
oct141764333400
936843548708
1013150304000
115639005039
122670015768
131317579092
148ca6d2ba8
1551e741585
hex30fd1b700

13150304000 has 144 divisors (see below), whose sum is σ = 33019642656. Its totient is φ = 5218304000.

The previous prime is 13150303993. The next prime is 13150304003. The reversal of 13150304000 is 40305131.

It is a self number, because there is not a number n which added to its sum of digits gives 13150304000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13150304003) 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, 4190432 + ... + 4193568.

It is an arithmetic number, because the mean of its divisors is an integer number (229303074).

Almost surely, 213150304000 is an apocalyptic number.

13150304000 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 13150304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16509821328).

13150304000 is an abundant number, since it is smaller than the sum of its proper divisors (19869338656).

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

13150304000 is an equidigital number, since it uses as much as digits as its factorization.

13150304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 13150304000 its reverse (40305131), we get a palindrome (13190609131).

The spelling of 13150304000 in words is "thirteen billion, one hundred fifty million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 131 160 200 250 256 262 320 400 500 524 640 655 800 1000 1048 1280 1310 1600 2000 2096 2620 3137 3200 3275 4000 4192 5240 6274 6400 6550 8000 8384 10480 12548 13100 15685 16000 16375 16768 20960 25096 26200 31370 32000 32750 33536 41920 50192 52400 62740 65500 78425 83840 100384 104800 125480 131000 156850 167680 200768 209600 250960 262000 313700 392125 401536 410947 419200 501920 524000 627400 784250 803072 821894 838400 1003840 1048000 1254800 1568500 1643788 2007680 2054735 2096000 2509600 3137000 3287576 4015360 4109470 4192000 5019200 6274000 6575152 8218940 10038400 10273675 12548000 13150304 16437880 20076800 20547350 25096000 26300608 32875760 41094700 50192000 51368375 52601216 65751520 82189400 100384000 102736750 105202432 131503040 164378800 205473500 263006080 328757600 410947000 526012160 657515200 821894000 1315030400 1643788000 2630060800 3287576000 6575152000 13150304000