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2101002001200 = 243252583611667
BaseRepresentation
bin11110100100101101011…
…110100101101100110000
321102212001102221010110100
4132210231132211230300
5233410323003014300
64245104220232400
7304535534230614
oct36445536455460
97385042833410
102101002001200
11740036947253
1229b23139b700
1312317b831b1b
1473990a1d344
15399ba191700
hex1e92d7a5b30

2101002001200 has 90 divisors (see below), whose sum is σ = 7291060568324. Its totient is φ = 560267199360.

The previous prime is 2101002001181. The next prime is 2101002001207. The reversal of 2101002001200 is 21002001012.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2101002001207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 291802234 + ... + 291809433.

Almost surely, 22101002001200 is an apocalyptic number.

2101002001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101002001200 is an abundant number, since it is smaller than the sum of its proper divisors (5190058567124).

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

2101002001200 is a wasteful number, since it uses less digits than its factorization.

2101002001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583611691 (or 583611677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2101002001200 its reverse (21002001012), we get a palindrome (2122004002212).

The spelling of 2101002001200 in words is "two trillion, one hundred one billion, two million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 583611667 1167223334 1750835001 2334446668 2918058335 3501670002 4668893336 5252505003 5836116670 7003340004 8754175005 9337786672 10505010006 11672233340 14006680008 14590291675 17508350010 21010020012 23344466680 26262525015 28013360016 29180583350 35016700020 42020040024 43770875025 46688933360 52525050030 58361166700 70033400040 84040080048 87541750050 105050100060 116722333400 131312625075 140066800080 175083500100 210100200120 233444666800 262625250150 350167000200 420200400240 525250500300 700334000400 1050501000600 2101002001200