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2000100202100 = 22527111319981021
BaseRepresentation
bin11101000110101111010…
…000110001011001110100
321002012121102101122101222
4131012233100301121310
5230232201122431400
64130500000405512
7264334230131330
oct35065720613164
97065542348358
102000100202100
11701268470140
12283771616898
131167bb248b60
146cb3bcd47c0
1537061bc2185
hex1d1af431674

2000100202100 has 144 divisors (see below), whose sum is σ = 5827425104256. Its totient is φ = 575453376000.

The previous prime is 2000100202063. The next prime is 2000100202169. The reversal of 2000100202100 is 12020010002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9890411 + ... + 10090610.

Almost surely, 22000100202100 is an apocalyptic number.

2000100202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000100202100 is an abundant number, since it is smaller than the sum of its proper divisors (3827324902156).

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

2000100202100 is a wasteful number, since it uses less digits than its factorization.

2000100202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19981066 (or 19981059 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 2000100202100 its reverse (12020010002), we get a palindrome (2012120212102).

The spelling of 2000100202100 in words is "two trillion, one hundred million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 19981021 39962042 79924084 99905105 139867147 199810210 219791231 259753273 279734294 399620420 439582462 499525525 519506546 559468588 699335735 879164924 999051050 1039013092 1098956155 1298766365 1398671470 1538538617 1818272911 1998102100 2197912310 2597532730 2797342940 2857286003 3077077234 3496678675 3636545822 4395824620 5195065460 5494780775 5714572006 6154154468 6493831825 6993357350 7273091644 7692693085 9091364555 10989561550 11429144012 12987663650 13986714700 14286430015 15385386170 18182729110 20001002021 21979123100 25975327300 28572860030 30770772340 36365458220 38463465425 40002004042 45456822775 57145720060 71432150075 76926930850 80004008084 90913645550 100005010105 142864300150 153853861700 181827291100 200010020210 285728600300 400020040420 500025050525 1000050101050 2000100202100