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20102300320102 = 27111359990117189
BaseRepresentation
bin1001001001000011011100…
…11110000100000101100110
32122011202112212120012212021
410210201232132010011212
510113324002340220402
6110430511433013354
74143225512263660
oct444415636040546
978152485505767
1020102300320102
116450379512730
122307b6385425a
13b2a83c54b220
144d6d569d1530
1524cd91006d37
hex12486e784166

20102300320102 has 128 divisors (see below), whose sum is σ = 41178504729600. Its totient is φ = 7105931712000.

The previous prime is 20102300320049. The next prime is 20102300320153.

20102300320102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1169477724 + ... + 1169494912.

It is an arithmetic number, because the mean of its divisors is an integer number (321707068200).

Almost surely, 220102300320102 is an apocalyptic number.

20102300320102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20102300320102 is an abundant number, since it is smaller than the sum of its proper divisors (21076204409498).

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

20102300320102 is a wasteful number, since it uses less digits than its factorization.

20102300320102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27182.

The product of its (nonzero) digits is 144, while the sum is 16.

It can be divided in two parts, 20102300 and 320102, that added together give a palindrome (20422402).

The spelling of 20102300320102 in words is "twenty trillion, one hundred two billion, three hundred million, three hundred twenty thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 59 77 91 118 143 154 182 286 413 649 767 826 1001 1298 1534 2002 4543 5369 8437 9086 9901 10738 16874 17189 19802 34378 59059 69307 108911 118118 120323 128713 138614 189079 217822 223457 240646 257426 378158 446914 584159 762377 900991 1014151 1168318 1323553 1415843 1524754 1564199 1801982 2028302 2458027 2647106 2831686 3128398 4089113 4916054 6425749 7099057 7594067 8178226 9910901 11155661 12851498 13183963 14198114 15188134 17206189 19821802 22311322 26367926 34412378 44980243 53158469 78089627 83534737 89960486 92287741 106316938 145023593 156179254 167069474 170188289 184575482 290047186 340376578 584743159 1015165151 1169486318 1191318023 1872071179 2030330302 2212447757 2382636046 3744142358 4424895514 10041109051 13104498253 15487134299 20082218102 24336925327 26208996506 30974268598 48673850654 70287763357 110452199561 130534417663 140575526714 170358477289 220904399122 261068835326 340716954578 773165396927 913740923641 1435878594293 1546330793854 1827481847282 2871757188586 10051150160051 20102300320102