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2002100200100 = 22527111320001001
BaseRepresentation
bin11101001000100110011…
…110001010001010100100
321002101202210202001212222
4131020212132022022210
5230300300122400400
64131430243331512
7264434623624310
oct35104636121244
97071683661788
102002100200100
117020a4406250
1228402b380b98
13116a496c2320
146cc8b78cb40
153712c584185
hex1d22678a2a4

2002100200100 has 144 divisors (see below), whose sum is σ = 5833252231296. Its totient is φ = 576028800000.

The previous prime is 2002100200097. The next prime is 2002100200157. The reversal of 2002100200100 is 10020012002.

It is a super-2 number, since 2×20021002001002 (a number of 25 digits) contains 22 as substring.

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, 9900401 + ... + 10100600.

Almost surely, 22002100200100 is an apocalyptic number.

2002100200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002100200100 is an abundant number, since it is smaller than the sum of its proper divisors (3831152031196).

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

2002100200100 is a wasteful number, since it uses less digits than its factorization.

2002100200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20001046 (or 20001039 counting only the distinct ones).

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

Adding to 2002100200100 its reverse (10020012002), we get a palindrome (2012120212102).

The spelling of 2002100200100 in words is "two trillion, two billion, one hundred million, two hundred 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 20001001 40002002 80004004 100005005 140007007 200010010 220011011 260013013 280014014 400020020 440022022 500025025 520026026 560028028 700035035 880044044 1000050050 1040052052 1100055055 1300065065 1400070070 1540077077 1820091091 2000100100 2200110110 2600130130 2800140140 2860143143 3080154154 3500175175 3640182182 4400220220 5200260260 5500275275 5720286286 6160308308 6500325325 7000350350 7280364364 7700385385 9100455455 11000550550 11440572572 13000650650 14000700700 14300715715 15400770770 18200910910 20021002001 22001101100 26001301300 28601431430 30801541540 36401821820 38501926925 40042004002 45502277275 57202862860 71503578575 77003853850 80084008004 91004554550 100105010005 143007157150 154007707700 182009109100 200210020010 286014314300 400420040020 500525050025 1001050100050 2002100200100