Search a number
-
+
12232221310100 = 22521121795647639
BaseRepresentation
bin1011001000000000100100…
…1101001011110010010100
31121022101111112102221021102
42302000021031023302110
53100403042123410400
642003223242405232
72401514563411061
oct262001115136224
947271445387242
1012232221310100
113996724044200
12145682a200818
136a965535700c
14304085131c68
151632c4ee99d5
hexb200934bc94

12232221310100 has 108 divisors (see below), whose sum is σ = 29339376847200. Its totient is φ = 4423230081600.

The previous prime is 12232221310087. The next prime is 12232221310121. The reversal of 12232221310100 is 101312223221.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 657920 + ... + 4989719.

Almost surely, 212232221310100 is an apocalyptic number.

12232221310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12232221310100 is an abundant number, since it is smaller than the sum of its proper divisors (17107155537100).

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

12232221310100 is a wasteful number, since it uses less digits than its factorization.

12232221310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5647854 (or 5647836 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12232221310100 its reverse (101312223221), we get a palindrome (12333533533321).

The spelling of 12232221310100 in words is "twelve trillion, two hundred thirty-two billion, two hundred twenty-one million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 179 220 242 275 358 484 550 605 716 895 1100 1210 1790 1969 2420 3025 3580 3938 4475 6050 7876 8950 9845 12100 17900 19690 21659 39380 43318 49225 86636 98450 108295 196900 216590 433180 541475 1082950 2165900 5647639 11295278 22590556 28238195 56476390 62124029 112952780 124248058 141190975 248496116 282381950 310620145 564763900 621240290 683364319 1010927381 1242480580 1366728638 1553100725 2021854762 2733457276 3106201450 3416821595 4043709524 5054636905 6212402900 6833643190 10109273810 11120201191 13667286380 17084107975 20218547620 22240402382 25273184525 34168215950 44480804764 50546369050 55601005955 68336431900 101092738100 111202011910 122322213101 222404023820 244644426202 278005029775 489288852404 556010059550 611611065505 1112020119100 1223222131010 2446444262020 3058055327525 6116110655050 12232221310100