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2110044012 = 22317192323669
BaseRepresentation
bin111110111000100…
…1011011101101100
312110001102100020020
41331301023131230
513310132402022
6545213322140
7103201035546
oct17561133554
95401370206
102110044012
1199307932a
124aa796350
132781c676b
14160342696
15c539d35c
hex7dc4b76c

2110044012 has 96 divisors (see below), whose sum is σ = 5726246400. Its totient is φ = 599841792.

The previous prime is 2110043987. The next prime is 2110044019. The reversal of 2110044012 is 2104400112.

It is a super-2 number, since 2×21100440122 = 8904571465154112288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2110043982 and 2110044000.

It is not an unprimeable number, because it can be changed into a prime (2110044019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77314 + ... + 100982.

It is an arithmetic number, because the mean of its divisors is an integer number (59648400).

Almost surely, 22110044012 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 2110044012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863123200).

2110044012 is an abundant number, since it is smaller than the sum of its proper divisors (3616202388).

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

2110044012 is a wasteful number, since it uses less digits than its factorization.

2110044012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23735 (or 23733 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2110044012 is about 45935.2153799239. The cubic root of 2110044012 is about 1282.6175302008.

Adding to 2110044012 its reverse (2104400112), we get a palindrome (4214444124).

The spelling of 2110044012 in words is "two billion, one hundred ten million, forty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 17 19 23 34 38 46 51 57 68 69 76 92 102 114 138 204 228 276 323 391 437 646 782 874 969 1173 1292 1311 1564 1748 1938 2346 2622 3876 4692 5244 7429 14858 22287 23669 29716 44574 47338 71007 89148 94676 142014 284028 402373 449711 544387 804746 899422 1088774 1207119 1349133 1609492 1633161 1798844 2177548 2414238 2698266 3266322 4828476 5396532 6532644 7645087 9254579 10343353 15290174 18509158 20686706 22935261 27763737 30580348 31030059 37018316 41373412 45870522 55527474 62060118 91741044 111054948 124120236 175837001 351674002 527511003 703348004 1055022006 2110044012