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20001021002200 = 2352761234203993
BaseRepresentation
bin1001000110000110110011…
…10000001000000111011000
32121211002010112122210101001
410203003121300020013120
510110144042334032300
6110312201525434344
74133011642264450
oct443033160100730
977732115583331
1020001021002200
116411426a26107
1222b03b956b9b4
13b2111b995554
144d20a9ab4d60
1524a41481516a
hex1230d9c081d8

20001021002200 has 96 divisors (see below), whose sum is σ = 54016809176160. Its totient is φ = 6745074969600.

The previous prime is 20001021002191. The next prime is 20001021002273. The reversal of 20001021002200 is 220012010002.

It is a super-2 number, since 2×200010210022002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 117016597 + ... + 117187396.

It is an arithmetic number, because the mean of its divisors is an integer number (562675095585).

Almost surely, 220001021002200 is an apocalyptic number.

20001021002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001021002200 is an abundant number, since it is smaller than the sum of its proper divisors (34015788173960).

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

20001021002200 is a wasteful number, since it uses less digits than its factorization.

20001021002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234204077 (or 234204068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20001021002200 its reverse (220012010002), we get a palindrome (20221033012202).

The spelling of 20001021002200 in words is "twenty trillion, one billion, twenty-one million, two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 61 70 100 122 140 175 200 244 280 305 350 427 488 610 700 854 1220 1400 1525 1708 2135 2440 3050 3416 4270 6100 8540 10675 12200 17080 21350 42700 85400 234203993 468407986 936815972 1171019965 1639427951 1873631944 2342039930 3278855902 4684079860 5855099825 6557711804 8197139755 9368159720 11710199650 13115423608 14286443573 16394279510 23420399300 28572887146 32788559020 40985698775 46840798600 57145774292 65577118040 71432217865 81971397550 100005105011 114291548584 142864435730 163942795100 200010210022 285728871460 327885590200 357161089325 400020420044 500025525055 571457742920 714322178650 800040840088 1000051050110 1428644357300 2000102100220 2500127625275 2857288714600 4000204200440 5000255250550 10000510501100 20001021002200