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2102203112000 = 26531312005919
BaseRepresentation
bin11110100101110101000…
…100011101101001000000
321102222011011000212201112
4132211311010131221000
5233420302444041000
64245423324222452
7304610360423435
oct36456504355100
97388134025645
102102203112000
117405a2941602
1229b50769aa28
13123310624a84
1473a6635bb8c
1539a3a84b235
hex1e97511da40

2102203112000 has 112 divisors (see below), whose sum is σ = 5245849889280. Its totient is φ = 834461888000.

The previous prime is 2102203111997. The next prime is 2102203112041. The reversal of 2102203112000 is 2113022012.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45041 + ... + 2050959.

It is an arithmetic number, because the mean of its divisors is an integer number (46837945440).

Almost surely, 22102203112000 is an apocalyptic number.

2102203112000 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 2102203112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622924944640).

2102203112000 is an abundant number, since it is smaller than the sum of its proper divisors (3143646777280).

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

2102203112000 is a wasteful number, since it uses less digits than its factorization.

2102203112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006077 (or 2006057 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2102203112000 its reverse (2113022012), we get a palindrome (2104316134012).

The spelling of 2102203112000 in words is "two trillion, one hundred two billion, two hundred three million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 131 160 200 250 262 320 400 500 524 655 800 1000 1048 1310 1600 2000 2096 2620 3275 4000 4192 5240 6550 8000 8384 10480 13100 16375 20960 26200 32750 41920 52400 65500 104800 131000 209600 262000 524000 1048000 2005919 4011838 8023676 10029595 16047352 20059190 32094704 40118380 50147975 64189408 80236760 100295950 128378816 160473520 200591900 250739875 262775389 320947040 401183800 501479750 525550778 641894080 802367600 1002959500 1051101556 1313876945 1604735200 2005919000 2102203112 2627753890 3209470400 4011838000 4204406224 5255507780 6569384725 8023676000 8408812448 10511015560 13138769450 16047352000 16817624896 21022031120 26277538900 32846923625 42044062240 52555077800 65693847250 84088124480 105110155600 131387694500 210220311200 262775389000 420440622400 525550778000 1051101556000 2102203112000