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2110212102000 = 24353421783401
BaseRepresentation
bin11110101101010010011…
…100010101011101110000
321110201211022100201120210
4132231102130111131300
5234033203244231000
64253230144504120
7305313010625502
oct36552234253560
97421738321523
102110212102000
11743a3279a302
122a0b8191b040
13123cb8994b02
14741c5cc5d72
1539d58a20350
hex1eb52715770

2110212102000 has 160 divisors (see below), whose sum is σ = 6805018718784. Its totient is φ = 562583040000.

The previous prime is 2110212101989. The next prime is 2110212102007. The reversal of 2110212102000 is 2012120112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110212102007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25260300 + ... + 25343700.

Almost surely, 22110212102000 is an apocalyptic number.

2110212102000 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 2110212102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402509359392).

2110212102000 is an abundant number, since it is smaller than the sum of its proper divisors (4694806616784).

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

2110212102000 is a wasteful number, since it uses less digits than its factorization.

2110212102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87644 (or 87628 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2110212102000 its reverse (2012120112), we get a palindrome (2112224222112).

The spelling of 2110212102000 in words is "two trillion, one hundred ten billion, two hundred twelve million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 4217 6000 8434 12651 16868 21085 25302 33736 42170 50604 63255 67472 83401 84340 101208 105425 126510 166802 168680 202416 210850 250203 253020 316275 333604 337360 417005 421700 500406 506040 527125 632550 667208 834010 843400 1000812 1012080 1054250 1251015 1265100 1334416 1581375 1668020 1686800 2001624 2085025 2108500 2502030 2530200 3162750 3336040 4003248 4170050 4217000 5004060 5060400 6255075 6325500 6672080 8340100 8434000 10008120 10425125 12510150 12651000 16680200 20016240 20850250 25020300 25302000 31275375 33360400 41700500 50040600 62550750 83401000 100081200 125101500 166802000 250203000 351702017 500406000 703404034 1055106051 1406808068 1758510085 2110212102 2813616136 3517020170 4220424204 5275530255 5627232272 7034040340 8440848408 8792550425 10551060510 14068080680 16881696816 17585100850 21102121020 26377651275 28136161360 35170201700 42204242040 43962752125 52755302550 70340403400 84408484080 87925504250 105510605100 131888256375 140680806800 175851008500 211021210200 263776512750 351702017000 422042420400 527553025500 703404034000 1055106051000 2110212102000