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13352240000 = 27541115173
BaseRepresentation
bin11000110111101101…
…10000001110000000
31021110112121001220102
430123312300032000
5204321133140000
610044532501532
7651611111261
oct143366601600
937415531812
1013352240000
115731a9a5a0
12270777a8a8
13134a360638
1490945a968
1553232e3d5
hex31bdb0380

13352240000 has 160 divisors (see below), whose sum is σ = 36263735640. Its totient is φ = 4855040000.

The previous prime is 13352239997. The next prime is 13352240003. The reversal of 13352240000 is 4225331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13352239997) and next prime (13352240003).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13352240003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 872414 + ... + 887586.

Almost surely, 213352240000 is an apocalyptic number.

13352240000 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 13352240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18131867820).

13352240000 is an abundant number, since it is smaller than the sum of its proper divisors (22911495640).

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

13352240000 is an equidigital number, since it uses as much as digits as its factorization.

13352240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15218 (or 15191 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 13352240000 its reverse (4225331), we get a palindrome (13356465331).

It can be divided in two parts, 13352 and 240000, that added together give a palindrome (253352).

The spelling of 13352240000 in words is "thirteen billion, three hundred fifty-two million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 5000 5500 6875 7040 8000 8800 10000 11000 13750 15173 16000 17600 20000 22000 27500 30346 35200 40000 44000 55000 60692 75865 80000 88000 110000 121384 151730 166903 176000 220000 242768 303460 333806 379325 440000 485536 606920 667612 758650 834515 880000 971072 1213840 1335224 1517300 1669030 1896625 1942144 2427680 2670448 3034600 3338060 3793250 4172575 4855360 5340896 6069200 6676120 7586500 8345150 9483125 9710720 10681792 12138400 13352240 15173000 16690300 18966250 20862875 21363584 24276800 26704480 30346000 33380600 37932500 41725750 48553600 53408960 60692000 66761200 75865000 83451500 104314375 106817920 121384000 133522400 151730000 166903000 208628750 242768000 267044800 303460000 333806000 417257500 534089600 606920000 667612000 834515000 1213840000 1335224000 1669030000 2670448000 3338060000 6676120000 13352240000