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2002011100100 = 2252116129836231
BaseRepresentation
bin11101001000100001001…
…010010001001111000100
321002101112121002022122222
4131020201022101033010
5230300104320200400
64131413341511512
7264432462400454
oct35104112211704
97071477068588
102002011100100
1170205908a090
12284005572598
13116a340c6c2b
146cc7d9d7d64
1537124834185
hex1d2212913c4

2002011100100 has 72 divisors (see below), whose sum is σ = 4816999983936. Its totient is φ = 716069520000.

The previous prime is 2002011100069. The next prime is 2002011100121. The reversal of 2002011100100 is 10011102002.

It is a super-2 number, since 2×20020111001002 (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 23 ways as a sum of consecutive naturals, for example, 14851016 + ... + 14985215.

Almost surely, 22002011100100 is an apocalyptic number.

2002011100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002011100100 is an abundant number, since it is smaller than the sum of its proper divisors (2814988883836).

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

2002011100100 is a wasteful number, since it uses less digits than its factorization.

2002011100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29836317 (or 29836310 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2002011100100 its reverse (10011102002), we get a palindrome (2012022202102).

The spelling of 2002011100100 in words is "two trillion, two billion, eleven million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 122 220 244 275 305 550 610 671 1100 1220 1342 1525 2684 3050 3355 6100 6710 13420 16775 33550 67100 29836231 59672462 119344924 149181155 298362310 328198541 596724620 656397082 745905775 1312794164 1491811550 1640992705 1820010091 2983623100 3281985410 3640020182 6563970820 7280040364 8204963525 9100050455 16409927050 18200100910 20020111001 32819854100 36400201820 40040222002 45500252275 80080444004 91000504550 100100555005 182001009100 200201110010 400402220020 500502775025 1001005550050 2002011100100