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20202212002200 = 23352222115159997
BaseRepresentation
bin1001001011111101100011…
…01010111000100110011000
32122112022102220000112201120
410211332301222320212120
510121443112233032300
6110544433523045240
74153363434463614
oct445766152704630
978468386015646
1020202212002200
11648978a006228
1223233a7b10820
13b370a2977547
144dbb14022344
1525078c5e83a0
hex125fb1ab8998

20202212002200 has 96 divisors (see below), whose sum is σ = 62655058934160. Its totient is φ = 5384830579200.

The previous prime is 20202212002139. The next prime is 20202212002207. The reversal of 20202212002200 is 220021220202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20202212002200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202212002207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6247399 + ... + 8912598.

Almost surely, 220202212002200 is an apocalyptic number.

20202212002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20202212002200 is an abundant number, since it is smaller than the sum of its proper divisors (42452846931960).

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

20202212002200 is a wasteful number, since it uses less digits than its factorization.

20202212002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15162237 (or 15162228 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20202212002200 its reverse (220021220202), we get a palindrome (20422233222402).

The spelling of 20202212002200 in words is "twenty trillion, two hundred two billion, two hundred twelve million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2221 4442 6663 8884 11105 13326 17768 22210 26652 33315 44420 53304 55525 66630 88840 111050 133260 166575 222100 266520 333150 444200 666300 1332600 15159997 30319994 45479991 60639988 75799985 90959982 121279976 151599970 181919964 227399955 303199940 363839928 378999925 454799910 606399880 757999850 909599820 1136999775 1515999700 1819199640 2273999550 3031999400 4547999100 9095998200 33670353337 67340706674 101011060011 134681413348 168351766685 202022120022 269362826696 336703533370 404044240044 505055300055 673407066740 808088480088 841758833425 1010110600110 1346814133480 1683517666850 2020221200220 2525276500275 3367035333700 4040442400440 5050553000550 6734070667400 10101106001100 20202212002200