Search a number
-
+
14321022100 = 22527112716863
BaseRepresentation
bin11010101011001100…
…10111010010010100
31100222001112022002221
431111212113102110
5213312140201400
610325021112124
71014613452010
oct152546272224
940861468087
1014321022100
116089930960
1229380b8644
131472c8a398
1499bd9d540
1558c3e5c1a
hex355997494

14321022100 has 144 divisors (see below), whose sum is σ = 38893510656. Its totient is φ = 4446576000.

The previous prime is 14321022077. The next prime is 14321022103. The reversal of 14321022100 is 122012341.

14321022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14321022103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2083269 + ... + 2090131.

It is an arithmetic number, because the mean of its divisors is an integer number (270093824).

Almost surely, 214321022100 is an apocalyptic number.

14321022100 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 14321022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19446755328).

14321022100 is an abundant number, since it is smaller than the sum of its proper divisors (24572488556).

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

14321022100 is a wasteful number, since it uses less digits than its factorization.

14321022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7166 (or 7159 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14321022100 its reverse (122012341), we get a palindrome (14443034441).

The spelling of 14321022100 in words is "fourteen billion, three hundred twenty-one million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 271 275 308 350 385 542 550 700 770 1084 1100 1355 1540 1897 1925 2710 2981 3794 3850 5420 5962 6775 6863 7588 7700 9485 11924 13550 13726 14905 18970 20867 27100 27452 29810 34315 37940 41734 47425 48041 59620 68630 74525 75493 83468 94850 96082 104335 137260 149050 150986 171575 189700 192164 208670 240205 298100 301972 343150 377465 417340 480410 521675 528451 686300 754930 960820 1043350 1056902 1201025 1509860 1859873 1887325 2086700 2113804 2402050 2642255 3719746 3774650 4804100 5284510 7439492 7549300 9299365 10569020 13019111 13211275 18598730 20458603 26038222 26422550 37197460 40917206 46496825 52076444 52845100 65095555 81834412 92993650 102293015 130191110 143210221 185987300 204586030 260382220 286420442 325477775 409172060 511465075 572840884 650955550 716051105 1022930150 1301911100 1432102210 2045860300 2864204420 3580255525 7160511050 14321022100