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11000210110002 = 23237131883142789
BaseRepresentation
bin1010000000010010111110…
…0111011011011000110010
31102221121110120000101001100
42200010233213123120302
52420211412242010002
635221232102545230
72213511314116041
oct240045747333062
942847416011040
1011000210110002
113561187917743
121297ab8138216
1361a413b0acb9
142a05ad42a558
15141219d5e11c
hexa012f9db632

11000210110002 has 96 divisors (see below), whose sum is σ = 24692905448640. Its totient is φ = 3536367569280.

The previous prime is 11000210109983. The next prime is 11000210110013. The reversal of 11000210110002 is 20001101200011.

It is a happy number.

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

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, 76966824 + ... + 77109612.

It is an arithmetic number, because the mean of its divisors is an integer number (257217765090).

Almost surely, 211000210110002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000210110002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12346452724320).

11000210110002 is an abundant number, since it is smaller than the sum of its proper divisors (13692695338638).

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

11000210110002 is a wasteful number, since it uses less digits than its factorization.

11000210110002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143848 (or 143845 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000210110002 its reverse (20001101200011), we get a palindrome (31001311310013).

The spelling of 11000210110002 in words is "eleven trillion, two hundred ten million, one hundred ten thousand, two".

Divisors: 1 2 3 6 9 18 37 74 111 131 222 262 333 393 666 786 883 1179 1766 2358 2649 4847 5298 7947 9694 14541 15894 29082 32671 43623 65342 87246 98013 115673 142789 196026 231346 285578 294039 347019 428367 588078 694038 856734 1041057 1285101 2082114 2570202 4279901 5283193 8559802 10566386 12839703 15849579 18705359 25679406 31699158 37410718 38519109 47548737 56116077 77038218 95097474 112232154 126082687 168348231 252165374 336696462 378248061 692098283 756496122 1134744183 1384196566 2076294849 2269488366 4152589698 4665059419 6228884547 9330118838 12457769094 13995178257 16516831997 27990356514 33033663994 41985534771 49550495991 83971069542 99100991982 148651487973 297302975946 611122783889 1222245567778 1833368351667 3666736703334 5500105055001 11000210110002