Search a number
-
+
14213200100300 = 22521496311511737
BaseRepresentation
bin1100111011010100010010…
…1111100011101111001100
31212022202202100112012201122
43032311010233203233030
53330332113211202200
650121242021100112
72664604230325025
oct316650457435714
955282670465648
1014213200100300
11458a869a12593
121716743b57638
137c13b6c35956
14371ccb6c5c4c
15199ab814d385
hexced44be3bcc

14213200100300 has 72 divisors (see below), whose sum is σ = 31098869440800. Its totient is φ = 5638170585600.

The previous prime is 14213200100263. The next prime is 14213200100371. The reversal of 14213200100300 is 300100231241.

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, 8646032 + ... + 10157768.

Almost surely, 214213200100300 is an apocalyptic number.

14213200100300 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 14213200100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549434720400).

14213200100300 is an abundant number, since it is smaller than the sum of its proper divisors (16885669340500).

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

14213200100300 is a wasteful number, since it uses less digits than its factorization.

14213200100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512531 (or 1512524 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 14213200100300 its reverse (300100231241), we get a palindrome (14513300331541).

The spelling of 14213200100300 in words is "fourteen trillion, two hundred thirteen billion, two hundred million, one hundred thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 631 745 1262 1490 2524 2980 3155 3725 6310 7450 12620 14900 15775 31550 63100 94019 188038 376076 470095 940190 1511737 1880380 2350475 3023474 4700950 6046948 7558685 9401900 15117370 30234740 37793425 75586850 151173700 225248813 450497626 900995252 953906047 1126244065 1907812094 2252488130 3815624188 4504976260 4769530235 5631220325 9539060470 11262440650 19078120940 22524881300 23847651175 47695302350 95390604700 142132001003 284264002006 568528004012 710660005015 1421320010030 2842640020060 3553300025075 7106600050150 14213200100300