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20201102000200 = 23521127971047373
BaseRepresentation
bin1001001011111011011111…
…00000100100000001001000
32122112012120112100121020101
410211331233200210001020
510121433324103001300
6110544131431535144
74153324065562312
oct445755740440110
978465515317211
1020201102000200
11648926a48a300
12232313822a4b4
13b36c56a04124
144dba4a83c7b2
15250724e38b6a
hex125f6f824048

20201102000200 has 144 divisors (see below), whose sum is σ = 51690326333940. Its totient is φ = 7336631385600.

The previous prime is 20201102000197. The next prime is 20201102000207. The reversal of 20201102000200 is 200020110202.

It can be written as a sum of positive squares in 6 ways, for example, as 2382521905764 + 17818580094436 = 1543542^2 + 4221206^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20201102000207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 18763714 + ... + 19811086.

Almost surely, 220201102000200 is an apocalyptic number.

20201102000200 is a gapful number since it is divisible by the number (20) 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 20201102000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25845163166970).

20201102000200 is an abundant number, since it is smaller than the sum of its proper divisors (31489224333740).

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

20201102000200 is a wasteful number, since it uses less digits than its factorization.

20201102000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048208 (or 1048188 counting only the distinct ones).

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

Adding to 20201102000200 its reverse (200020110202), we get a palindrome (20401122110402).

The spelling of 20201102000200 in words is "twenty trillion, two hundred one billion, one hundred two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 797 968 1100 1210 1594 2200 2420 3025 3188 3985 4840 6050 6376 7970 8767 12100 15940 17534 19925 24200 31880 35068 39850 43835 70136 79700 87670 96437 159400 175340 192874 219175 350680 385748 438350 482185 771496 876700 964370 1047373 1753400 1928740 2094746 2410925 3857480 4189492 4821850 5236865 8378984 9643700 10473730 11521103 19287400 20947460 23042206 26184325 41894920 46084412 52368650 57605515 92168824 104737300 115211030 126732133 209474600 230422060 253464266 288027575 460844120 506928532 576055150 633660665 834756281 1013857064 1152110300 1267321330 1669512562 2304220600 2534642660 3168303325 3339025124 4173781405 5069285320 6336606650 6678050248 8347562810 9182319091 12673213300 16695125620 18364638182 20868907025 25346426600 33390251240 36729276364 41737814050 45911595455 73458552728 83475628100 91823190910 101005510001 166951256200 183646381820 202011020002 229557977275 367292763640 404022040004 459115954550 505027550005 808044080008 918231909100 1010055100010 1836463818200 2020110200020 2525137750025 4040220400040 5050275500050 10100551000100 20201102000200