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2003312101200 = 243522441683911
BaseRepresentation
bin11101001001101110101…
…101001100011101010000
321002111220021011000122220
4131021232231030131100
5230310240344214300
64132150414501040
7264506640620544
oct35115655143520
97074807130586
102003312101200
11702666500503
12284309204780
13116bb07c2777
146cd646d9a24
153719db70da0
hex1d26eb4c750

2003312101200 has 120 divisors (see below), whose sum is σ = 6419914771776. Its totient is φ = 533996928000.

The previous prime is 2003312101181. The next prime is 2003312101213. The reversal of 2003312101200 is 21012133002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2003312101200.

It is a congruent number.

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, 2587245 + ... + 3271155.

Almost surely, 22003312101200 is an apocalyptic number.

2003312101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003312101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209957385888).

2003312101200 is an abundant number, since it is smaller than the sum of its proper divisors (4416602670576).

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

2003312101200 is a wasteful number, since it uses less digits than its factorization.

2003312101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686373 (or 686362 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2003312101200 its reverse (21012133002), we get a palindrome (2024324234202).

The spelling of 2003312101200 in words is "two trillion, three billion, three hundred twelve million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 2441 4882 7323 9764 12205 14646 19528 24410 29292 36615 39056 48820 58584 61025 73230 97640 117168 122050 146460 183075 195280 244100 292920 366150 488200 585840 683911 732300 976400 1367822 1464600 2051733 2735644 2929200 3419555 4103466 5471288 6839110 8206932 10258665 10942576 13678220 16413864 17097775 20517330 27356440 32827728 34195550 41034660 51293325 54712880 68391100 82069320 102586650 136782200 164138640 205173300 273564400 410346600 820693200 1669426751 3338853502 5008280253 6677707004 8347133755 10016560506 13355414008 16694267510 20033121012 25041401265 26710828016 33388535020 40066242024 41735668775 50082802530 66777070040 80132484048 83471337550 100165605060 125207006325 133554140080 166942675100 200331210120 250414012650 333885350200 400662420240 500828025300 667770700400 1001656050600 2003312101200