Search a number
-
+
11210003012300 = 22521773181499063
BaseRepresentation
bin1010001100100000100000…
…1111110101101011001100
31110200122222101101001000212
42203020020033311223030
52432131041232343200
635501445420541552
72234616216266441
oct243101017655314
943618871331025
1011210003012300
113632154502324
1213106a73b18b8
13634138c46801
142aa7d1d619c8
151468e7dd4035
hexa32083f5acc

11210003012300 has 144 divisors (see below), whose sum is σ = 26253764776512. Its totient is φ = 4139419852800.

The previous prime is 11210003012287. The next prime is 11210003012309. The reversal of 11210003012300 is 321030001211.

It is not an unprimeable number, because it can be changed into a prime (11210003012309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22212569 + ... + 22711631.

It is an arithmetic number, because the mean of its divisors is an integer number (182317810948).

Almost surely, 211210003012300 is an apocalyptic number.

11210003012300 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 11210003012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13126882388256).

11210003012300 is an abundant number, since it is smaller than the sum of its proper divisors (15043761764212).

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

11210003012300 is a wasteful number, since it uses less digits than its factorization.

11210003012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499348 (or 499341 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11210003012300 its reverse (321030001211), we get a palindrome (11531033013511).

The spelling of 11210003012300 in words is "eleven trillion, two hundred ten billion, three million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 73 85 100 146 170 181 292 340 362 365 425 724 730 850 905 1241 1460 1700 1810 1825 2482 3077 3620 3650 4525 4964 6154 6205 7300 9050 12308 12410 13213 15385 18100 24820 26426 30770 31025 52852 61540 62050 66065 76925 124100 132130 153850 224621 264260 307700 330325 449242 499063 660650 898484 998126 1123105 1321300 1996252 2246210 2495315 4492420 4990630 5615525 8484071 9981260 11231050 12476575 16968142 22462100 24953150 33936284 36431599 42420355 49906300 72863198 84840710 90330403 145726396 169681420 180660806 182157995 212101775 361321612 364315990 424203550 451652015 619337183 728631980 848407100 903304030 910789975 1238674366 1535616851 1806608060 1821579950 2258260075 2477348732 3071233702 3096685915 3643159900 4516520150 6142467404 6193371830 6594119419 7678084255 9033040300 12386743660 13188238838 15356168510 15483429575 26376477676 30712337020 30966859150 32970597095 38390421275 61933718300 65941194190 76780842550 112100030123 131882388380 153561685100 164852985475 224200060246 329705970950 448400120492 560500150615 659411941900 1121000301230 2242000602460 2802500753075 5605001506150 11210003012300