Search a number
-
+
1223301203300 = 225211359155777
BaseRepresentation
bin10001110011010010011…
…011110000010101100100
311022221112222000212211002
4101303102123300111210
5130020310102001200
62333550554132432
7154244354443241
oct21632233602544
94287488025732
101223301203300
11431887702000
12179101121118
138b483ba6577
14432cb0205c8
1521c4a695bd5
hex11cd26f0564

1223301203300 has 144 divisors (see below), whose sum is σ = 2969328075840. Its totient is φ = 437294387200.

The previous prime is 1223301203291. The next prime is 1223301203317. The reversal of 1223301203300 is 33021033221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7775012 + ... + 7930788.

It is an arithmetic number, because the mean of its divisors is an integer number (20620333860).

Almost surely, 21223301203300 is an apocalyptic number.

1223301203300 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 1223301203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484664037920).

1223301203300 is an abundant number, since it is smaller than the sum of its proper divisors (1746026872540).

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

1223301203300 is a wasteful number, since it uses less digits than its factorization.

1223301203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155883 (or 155854 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1223301203300 its reverse (33021033221), we get a palindrome (1256322236521).

The spelling of 1223301203300 in words is "one trillion, two hundred twenty-three billion, three hundred one million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 121 220 236 242 275 295 484 550 590 605 649 1100 1180 1210 1298 1331 1475 2420 2596 2662 2950 3025 3245 5324 5900 6050 6490 6655 7139 12100 12980 13310 14278 16225 26620 28556 32450 33275 35695 64900 66550 71390 78529 133100 142780 155777 157058 178475 311554 314116 356950 392645 623108 713900 778885 785290 1557770 1570580 1713547 1963225 3115540 3427094 3894425 3926450 6854188 7788850 7852900 8567735 9190843 15577700 17135470 18381686 18849017 34270940 36763372 37698034 42838675 45954215 75396068 85677350 91908430 94245085 101099273 171354700 183816860 188490170 202198546 207339187 229771075 376980340 404397092 414678374 459542150 471225425 505496365 829356748 919084300 942450850 1010992730 1036695935 1112092003 1884901700 2021985460 2073391870 2224184006 2527481825 4146783740 4448368012 5054963650 5183479675 5560460015 10109927300 10366959350 11120920030 12233012033 20733918700 22241840060 24466024066 27802300075 48932048132 55604600150 61165060165 111209200300 122330120330 244660240660 305825300825 611650601650 1223301203300