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2001010200200 = 2352112437137321
BaseRepresentation
bin11101000111100101100…
…000001000111010001000
321002021221211201100010022
4131013211200020322020
5230241032102401300
64131130145040012
7264365620031114
oct35074540107210
97067854640108
102001010200200
11701695101190
12283986326008
1311690493327b
146cbc6ad4744
15370b6a26285
hex1d1e5808e88

2001010200200 has 96 divisors (see below), whose sum is σ = 5075633754720. Its totient is φ = 727590720000.

The previous prime is 2001010200193. The next prime is 2001010200223. The reversal of 2001010200200 is 20020101002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53597540 + ... + 53634860.

It is an arithmetic number, because the mean of its divisors is an integer number (52871184945).

Almost surely, 22001010200200 is an apocalyptic number.

2001010200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001010200200 is an abundant number, since it is smaller than the sum of its proper divisors (3074623554520).

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

2001010200200 is a wasteful number, since it uses less digits than its factorization.

2001010200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61719 (or 61710 counting only the distinct ones).

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

Adding to 2001010200200 its reverse (20020101002), we get a palindrome (2021030301202).

The spelling of 2001010200200 in words is "two trillion, one billion, ten million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 24371 37321 48742 74642 97484 121855 149284 186605 194968 243710 268081 298568 373210 410531 487420 536162 609275 746420 821062 933025 974840 1072324 1218550 1340405 1492840 1642124 1866050 2052655 2144648 2437100 2680810 3284248 3732100 4105310 4874200 5361620 6702025 7464200 8210620 10263275 10723240 13404050 16421240 20526550 26808100 41053100 53616200 82106200 909550091 1819100182 3638200364 4547750455 7276400728 9095500910 10005051001 18191001820 20010102002 22738752275 36382003640 40020204004 45477504550 50025255005 80040408008 90955009100 100050510010 181910018200 200101020020 250126275025 400202040040 500252550050 1000505100100 2001010200200