Search a number
-
+
3001130303200 = 255267199281363
BaseRepresentation
bin101011101011000001010…
…011100011111011100000
3101121220102221010121221121
4223223001103203323200
5343132303324200300
610214411125502024
7426552543450511
oct53530123437340
911556387117847
103001130303200
11a578548a9257
12405780571914
1318a00ba60873
14a5381082a08
15530edab381a
hex2bac14e3ee0

3001130303200 has 144 divisors (see below), whose sum is σ = 7473252931200. Its totient is φ = 1176588357120.

The previous prime is 3001130303089. The next prime is 3001130303251. The reversal of 3001130303200 is 23030311003.

3001130303200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 10525719 + ... + 10807081.

It is an arithmetic number, because the mean of its divisors is an integer number (51897589800).

Almost surely, 23001130303200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001130303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736626465600).

3001130303200 is an abundant number, since it is smaller than the sum of its proper divisors (4472122628000).

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

3001130303200 is a wasteful number, since it uses less digits than its factorization.

3001130303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281649 (or 281636 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 3001130303200 its reverse (23030311003), we get a palindrome (3024160614203).

The spelling of 3001130303200 in words is "three trillion, one billion, one hundred thirty million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 67 80 100 134 160 199 200 268 335 398 400 536 670 796 800 995 1072 1340 1592 1675 1990 2144 2680 3184 3350 3980 4975 5360 6368 6700 7960 9950 10720 13333 13400 15920 19900 26666 26800 31840 39800 53332 53600 66665 79600 106664 133330 159200 213328 266660 281363 333325 426656 533320 562726 666650 1066640 1125452 1333300 1406815 2133280 2250904 2666600 2813630 4501808 5333200 5627260 7034075 9003616 10666400 11254520 14068150 18851321 22509040 28136300 37702642 45018080 55991237 56272600 75405284 94256605 111982474 112545200 150810568 188513210 223964948 225090400 279956185 301621136 377026420 447929896 471283025 559912370 603242272 754052840 895859792 942566050 1119824740 1399780925 1508105680 1791719584 1885132100 2239649480 2799561850 3016211360 3751412879 3770264200 4479298960 5599123700 7502825758 7540528400 8958597920 11198247400 15005651516 15081056800 18757064395 22396494800 30011303032 37514128790 44792989600 60022606064 75028257580 93785321975 120045212128 150056515160 187570643950 300113030320 375141287900 600226060640 750282575800 1500565151600 3001130303200