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2002012110 = 23257364853
BaseRepresentation
bin111011101010100…
…0100011111001110
312011112010202022200
41313111010133032
513100003341420
6530354022330
7100416552000
oct16725043716
95145122280
102002012110
119380a136a
1247a5779a6
1325ba00167
1414dc60370
15bab5db90
hex775447ce

2002012110 has 96 divisors (see below), whose sum is σ = 6070334400. Its totient is φ = 457595712.

The previous prime is 2002012093. The next prime is 2002012151. The reversal of 2002012110 is 112102002.

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 = 2002012092 and 2002012101.

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, 1557 + ... + 63296.

It is an arithmetic number, because the mean of its divisors is an integer number (63232650).

Almost surely, 22002012110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002012110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035167200).

2002012110 is an abundant number, since it is smaller than the sum of its proper divisors (4068322290).

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

2002012110 is a wasteful number, since it uses less digits than its factorization.

2002012110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64887 (or 64870 counting only the distinct ones).

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

The square root of 2002012110 is about 44743.8499684594. The cubic root of 2002012110 is about 1260.3434249063.

Adding to 2002012110 its reverse (112102002), we get a palindrome (2114114112).

The spelling of 2002012110 in words is "two billion, two million, twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 343 441 490 630 686 735 882 1029 1470 1715 2058 2205 3087 3430 4410 5145 6174 10290 15435 30870 64853 129706 194559 324265 389118 453971 583677 648530 907942 972795 1167354 1361913 1945590 2269855 2723826 2918385 3177797 4085739 4539710 5836770 6355594 6809565 8171478 9533391 13619130 15888985 19066782 20428695 22244579 28600173 31777970 40857390 44489158 47666955 57200346 66733737 95333910 111222895 133467474 143000865 200201211 222445790 286001730 333668685 400402422 667337370 1001006055 2002012110