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20110200201102 = 23112172775882353
BaseRepresentation
bin1001001001010010001010…
…10101101101111110001110
32122012111221102120202022110
410210221011111231332032
510113441142222413402
6110434255354524450
74143625336205004
oct444510525557616
978174842522273
1020110200201102
116453762818200
1223095a9436726
13b2b4cb10861b
144d74a5c76a74
1524d1a482756c
hex124a4556df8e

20110200201102 has 96 divisors (see below), whose sum is σ = 46978737867936. Its totient is φ = 5714822615040.

The previous prime is 20110200201023. The next prime is 20110200201107.

20110200201102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110200201107) 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 47 ways as a sum of consecutive naturals, for example, 477558 + ... + 6359910.

It is an arithmetic number, because the mean of its divisors is an integer number (489361852791).

Almost surely, 220110200201102 is an apocalyptic number.

20110200201102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20110200201102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23489368933968).

20110200201102 is an abundant number, since it is smaller than the sum of its proper divisors (26868537666834).

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

20110200201102 is a wasteful number, since it uses less digits than its factorization.

20110200201102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882674 (or 5882663 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 20110200 and 201102, that multiplied together give a square (4044201440400 = 20110202).

The spelling of 20110200201102 in words is "twenty trillion, one hundred ten billion, two hundred million, two hundred one thousand, one hundred two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 277 363 374 554 561 726 831 1122 1662 2057 3047 4114 4709 6094 6171 9141 9418 12342 14127 18282 28254 33517 51799 67034 100551 103598 155397 201102 310794 569789 1139578 1709367 3418734 5882353 11764706 17647059 35294118 64705883 100000001 129411766 194117649 200000002 300000003 388235298 600000006 711764713 1100000011 1423529426 1629411781 2135294139 2200000022 3258823562 3300000033 4270588278 4888235343 6600000066 9776470686 12100000121 17923529591 24200000242 27700000277 35847059182 36300000363 53770588773 55400000554 72600000726 83100000831 107541177546 166200001662 197158825501 304700003047 394317651002 591476476503 609400006094 914100009141 1182952953006 1828200018282 3351700033517 6703400067034 10055100100551 20110200201102