Search a number
-
+
13203211120 = 2451171211319
BaseRepresentation
bin11000100101111100…
…10000001101110000
31021002011011121201021
430102332100031300
5204020010223440
610022050345224
7645121304611
oct142276201560
937064147637
1013203211120
115665960a30
12268588b214
131325511778
148d3745c08
155241e284a
hex312f90370

13203211120 has 80 divisors (see below), whose sum is σ = 33959969280. Its totient is φ = 4733523200.

The previous prime is 13203211097. The next prime is 13203211121. The reversal of 13203211120 is 2111230231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13203211094 and 13203211103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13203211121) 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, 43180 + ... + 168139.

It is an arithmetic number, because the mean of its divisors is an integer number (424499616).

Almost surely, 213203211120 is an apocalyptic number.

13203211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13203211120 is an abundant number, since it is smaller than the sum of its proper divisors (20756758160).

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

13203211120 is a wasteful number, since it uses less digits than its factorization.

13203211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211414 (or 211408 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13203211120 its reverse (2111230231), we get a palindrome (15314441351).

The spelling of 13203211120 in words is "thirteen billion, two hundred three million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 71 80 88 110 142 176 220 284 355 440 568 710 781 880 1136 1420 1562 2840 3124 3905 5680 6248 7810 12496 15620 31240 62480 211319 422638 845276 1056595 1690552 2113190 2324509 3381104 4226380 4649018 8452760 9298036 11622545 15003649 16905520 18596072 23245090 30007298 37192144 46490180 60014596 75018245 92980360 120029192 150036490 165040139 185960720 240058384 300072980 330080278 600145960 660160556 825200695 1200291920 1320321112 1650401390 2640642224 3300802780 6601605560 13203211120