Search a number
-
+
13002301400 = 2352116788211
BaseRepresentation
bin11000001101111111…
…10101111111011000
31020120011010100101112
430012333311333120
5203112042121100
65550112235452
7640131511154
oct140677657730
936504110345
1013002301400
115572507540
12262a53bb88
1312c29c938a
148b4ba8064
15511758b35
hex306ff5fd8

13002301400 has 96 divisors (see below), whose sum is σ = 33471161280. Its totient is φ = 4657488000.

The previous prime is 13002301399. The next prime is 13002301439. The reversal of 13002301400 is 410320031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103295 + ... + 191505.

It is an arithmetic number, because the mean of its divisors is an integer number (348657930).

Almost surely, 213002301400 is an apocalyptic number.

13002301400 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 13002301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16735580640).

13002301400 is an abundant number, since it is smaller than the sum of its proper divisors (20468859880).

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

13002301400 is a wasteful number, since it uses less digits than its factorization.

13002301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88305 (or 88296 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13002301400 its reverse (410320031), we get a palindrome (13412621431).

The spelling of 13002301400 in words is "thirteen billion, two million, three hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 67 88 100 110 134 200 220 268 275 335 440 536 550 670 737 1100 1340 1474 1675 2200 2680 2948 3350 3685 5896 6700 7370 13400 14740 18425 29480 36850 73700 88211 147400 176422 352844 441055 705688 882110 970321 1764220 1940642 2205275 3528440 3881284 4410550 4851605 5910137 7762568 8821100 9703210 11820274 17642200 19406420 23640548 24258025 29550685 38812840 47281096 48516050 59101370 65011507 97032100 118202740 130023014 147753425 194064200 236405480 260046028 295506850 325057535 520092056 591013700 650115070 1182027400 1300230140 1625287675 2600460280 3250575350 6501150700 13002301400