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2001102020000 = 2554100055101
BaseRepresentation
bin11101000111101010111…
…110011001110110100000
321002022012020111021012122
4131013222332121312200
5230241224104120000
64131143225043412
7264401113343246
oct35075276316640
97068166437178
102001102020000
11701731a15816
122839b1026568
1311691a971605
146cbd4d96796
15370beb12085
hex1d1eaf99da0

2001102020000 has 60 divisors (see below), whose sum is σ = 4923011183706. Its totient is φ = 800440800000.

The previous prime is 2001102019979. The next prime is 2001102020033. The reversal of 2001102020000 is 202011002.

It can be written as a sum of positive squares in 5 ways, for example, as 192647255056 + 1808454764944 = 438916^2 + 1344788^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2001102020000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 50007551 + ... + 50047550.

Almost surely, 22001102020000 is an apocalyptic number.

2001102020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001102020000 is an abundant number, since it is smaller than the sum of its proper divisors (2921909163706).

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

2001102020000 is an equidigital number, since it uses as much as digits as its factorization.

2001102020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100055131 (or 100055108 counting only the distinct ones).

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

Adding to 2001102020000 its reverse (202011002), we get a palindrome (2001304031002).

The spelling of 2001102020000 in words is "two trillion, one billion, one hundred two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 100055101 200110202 400220404 500275505 800440808 1000551010 1600881616 2001102020 2501377525 3201763232 4002204040 5002755050 8004408080 10005510100 12506887625 16008816160 20011020200 25013775250 40022040400 50027550500 62534438125 80044080800 100055101000 125068876250 200110202000 250137752500 400220404000 500275505000 1000551010000 2001102020000