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2010220000000 = 2857100511
BaseRepresentation
bin11101010000001010011…
…100101111001100000000
321010011201200120122100121
4131100022130233030000
5230413412310000000
64135252103030024
7265143061033312
oct35201234571400
97104650518317
102010220000000
11705590869083
1228571673b314
131177419bc254
146d41bd1d7b2
1537455345b1a
hex1d40a72f300

2010220000000 has 144 divisors (see below), whose sum is σ = 5015771534592. Its totient is φ = 804080000000.

The previous prime is 2010219999961. The next prime is 2010220000001. The reversal of 2010220000000 is 220102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2010220000001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19949745 + ... + 20050255.

It is an arithmetic number, because the mean of its divisors is an integer number (34831746768).

Almost surely, 22010220000000 is an apocalyptic number.

2010220000000 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 2010220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507885767296).

2010220000000 is an abundant number, since it is smaller than the sum of its proper divisors (3005551534592).

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

2010220000000 is an frugal number, since it uses more digits than its factorization.

2010220000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100562 (or 100518 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 2010220000000 its reverse (220102), we get a palindrome (2010220220102).

The spelling of 2010220000000 in words is "two trillion, ten billion, two hundred twenty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 78125 80000 100000 100511 125000 156250 160000 200000 201022 250000 312500 400000 402044 500000 502555 625000 800000 804088 1000000 1005110 1250000 1608176 2000000 2010220 2500000 2512775 3216352 4000000 4020440 5000000 5025550 6432704 8040880 10000000 10051100 12563875 12865408 16081760 20000000 20102200 25127750 25730816 32163520 40204400 50255500 62819375 64327040 80408800 100511000 125638750 128654080 160817600 201022000 251277500 314096875 321635200 402044000 502555000 628193750 643270400 804088000 1005110000 1256387500 1570484375 1608176000 2010220000 2512775000 3140968750 3216352000 4020440000 5025550000 6281937500 7852421875 8040880000 10051100000 12563875000 15704843750 16081760000 20102200000 25127750000 31409687500 40204400000 50255500000 62819375000 80408800000 100511000000 125638750000 201022000000 251277500000 402044000000 502555000000 1005110000000 2010220000000