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1102100210000 = 2454910312107
BaseRepresentation
bin10000000010011010010…
…010101010000101010000
310220100201020222111020022
4100002122102222011100
5121024100123210000
62202144200203012
7142424033134526
oct20023222520520
93810636874208
101102100210000
11395441922939
12159717169468
137cc09c3a89a
143b4b03aa316
151da0505a585
hex1009a4aa150

1102100210000 has 100 divisors (see below), whose sum is σ = 2668808357952. Its totient is φ = 440755248000.

The previous prime is 1102100209981. The next prime is 1102100210011. The reversal of 1102100210000 is 120012011.

It is a tau number, because it is divible by the number of its divisors (100).

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 1102100210000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91023947 + ... + 91036053.

Almost surely, 21102100210000 is an apocalyptic number.

1102100210000 is a gapful number since it is divisible by the number (10) 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 1102100210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334404178976).

1102100210000 is an abundant number, since it is smaller than the sum of its proper divisors (1566708147952).

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

1102100210000 is an equidigital number, since it uses as much as digits as its factorization.

1102100210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21238 (or 21217 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1102100210000 its reverse (120012011), we get a palindrome (1102220222011).

The spelling of 1102100210000 in words is "one trillion, one hundred two billion, one hundred million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 9103 10000 12107 18206 24214 36412 45515 48428 60535 72824 91030 96856 121070 145648 182060 193712 227575 242140 302675 364120 455150 484280 605350 728240 910300 968560 1137875 1210700 1513375 1820600 2275750 2421400 3026750 3641200 4551500 4842800 5689375 6053500 7566875 9103000 11378750 12107000 15133750 18206000 22757500 24214000 30267500 45515000 60535000 91030000 110210021 121070000 220420042 440840084 551050105 881680168 1102100210 1763360336 2204200420 2755250525 4408400840 5510501050 8816801680 11021002100 13776252625 22042004200 27552505250 44084008400 55105010500 68881263125 110210021000 137762526250 220420042000 275525052500 551050105000 1102100210000