Search a number
-
+
2110120200112 = 243197241118191
BaseRepresentation
bin11110101101001100111…
…101110000011110110000
321110201120220102121220011
4132231030331300132300
5234033011232400422
64253213103024304
7305310513522121
oct36551475603660
97421526377804
102110120200112
1174399592a031
122a0b56b9b094
13123ca29282b2
14741b7a02048
1539d5091a077
hex1eb4cf707b0

2110120200112 has 80 divisors (see below), whose sum is σ = 4265750974464. Its totient is φ = 1010025216000.

The previous prime is 2110120200077. The next prime is 2110120200187. The reversal of 2110120200112 is 2110020210112.

It is a junction number, because it is equal to n+sod(n) for n = 2110120200092 and 2110120200101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115988937 + ... + 116007127.

Almost surely, 22110120200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110120200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132875487232).

2110120200112 is an abundant number, since it is smaller than the sum of its proper divisors (2155630774352).

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

2110120200112 is a wasteful number, since it uses less digits than its factorization.

2110120200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20738 (or 20732 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2110120200112 its reverse (2110020210112), we get a palindrome (4220140410224).

The spelling of 2110120200112 in words is "two trillion, one hundred ten billion, one hundred twenty million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 62 97 124 194 248 388 496 776 1552 2411 3007 4822 6014 9644 12028 18191 19288 24056 36382 38576 48112 72764 74741 145528 149482 233867 291056 298964 467734 563921 597928 935468 1127842 1195856 1764527 1870936 2255684 3529054 3741872 4511368 7058108 7249877 9022736 14116216 14499754 28232432 28999508 43858501 54700337 57999016 87717002 109400674 115998032 175434004 218801348 350868008 437602696 701736016 875205392 1359613531 2719227062 4254274597 5438454124 8508549194 10876908248 17017098388 21753816496 34034196776 68068393552 131882512507 263765025014 527530050028 1055060100056 2110120200112