Search a number
-
+
2110200012 = 223447913597
BaseRepresentation
bin111110111000111…
…0001100011001100
312110001201021020000
41331301301203030
513310202400022
6545220524300
7103202255424
oct17561614314
95401637200
102110200012
11993175558
124aa850690
1327824c77b
14160383484
15c53ce6ac
hex7dc718cc

2110200012 has 60 divisors (see below), whose sum is σ = 5528402880. Its totient is φ = 701879904.

The previous prime is 2110199909. The next prime is 2110200061. The reversal of 2110200012 is 2100020112.

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

It is a junction number, because it is equal to n+sod(n) for n = 2110199967 and 2110200003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148398 + ... + 161994.

It is an arithmetic number, because the mean of its divisors is an integer number (92140048).

Almost surely, 22110200012 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 2110200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764201440).

2110200012 is an abundant number, since it is smaller than the sum of its proper divisors (3418202868).

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

2110200012 is a wasteful number, since it uses less digits than its factorization.

2110200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14092 (or 14081 counting only the distinct ones).

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

The square root of 2110200012 is about 45936.9133921730. The cubic root of 2110200012 is about 1282.6491382941.

Adding to 2110200012 its reverse (2100020112), we get a palindrome (4210220124).

The spelling of 2110200012 in words is "two billion, one hundred ten million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 479 958 1437 1916 2874 4311 5748 8622 12933 13597 17244 25866 27194 38799 40791 51732 54388 77598 81582 122373 155196 163164 244746 367119 489492 734238 1101357 1468476 2202714 4405428 6512963 13025926 19538889 26051852 39077778 58616667 78155556 117233334 175850001 234466668 351700002 527550003 703400004 1055100006 2110200012