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2000122110 = 2325710729671
BaseRepresentation
bin111011100110111…
…0111000011111110
312011101120201201200
41313031313003332
513044012401420
6530245320330
7100364520540
oct16715670376
95141521650
102000122110
11937020388
12479a060a6
1325b4bab0c
1414d8cb690
15ba8d8b90
hex773770fe

2000122110 has 96 divisors (see below), whose sum is σ = 5998966272. Its totient is φ = 452882880.

The previous prime is 2000122087. The next prime is 2000122129. The reversal of 2000122110 is 112210002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2000122092 and 2000122101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52575 + ... + 82245.

It is an arithmetic number, because the mean of its divisors is an integer number (62489232).

Almost surely, 22000122110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999483136).

2000122110 is an abundant number, since it is smaller than the sum of its proper divisors (3998844162).

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

2000122110 is a wasteful number, since it uses less digits than its factorization.

2000122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29798 (or 29795 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2000122110 is about 44722.7247604615. The cubic root of 2000122110 is about 1259.9466908663.

Adding to 2000122110 its reverse (112210002), we get a palindrome (2112332112).

The spelling of 2000122110 in words is "two billion, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 107 126 210 214 315 321 535 630 642 749 963 1070 1498 1605 1926 2247 3210 3745 4494 4815 6741 7490 9630 11235 13482 22470 29671 33705 59342 67410 89013 148355 178026 207697 267039 296710 415394 445065 534078 623091 890130 1038485 1246182 1335195 1869273 2076970 2670390 3115455 3174797 3738546 6230910 6349594 9346365 9524391 15873985 18692730 19048782 22223579 28573173 31747970 44447158 47621955 57146346 66670737 95243910 111117895 133341474 142865865 200012211 222235790 285731730 333353685 400024422 666707370 1000061055 2000122110