Search a number
-
+
11012110120100 = 2252829169778277
BaseRepresentation
bin1010000000111111010011…
…1010010111010010100100
31102222202011212222112001002
42200033310322113102210
52420410300142320400
635230521001252432
72214412232412035
oct240176472272244
942882155875032
1011012110120100
113566234094431
12129a279494118
1361b58c3337ab
142a0dbba5aa8c
151416b492ced5
hexa03f4e974a4

11012110120100 has 72 divisors (see below), whose sum is σ = 23939508684840. Its totient is φ = 4396881899520.

The previous prime is 11012110120091. The next prime is 11012110120111. The reversal of 11012110120100 is 102101121011.

It can be written as a sum of positive squares in 12 ways, for example, as 2869168475044 + 8142941645056 = 1693862^2 + 2853584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140642162 + ... + 140720438.

Almost surely, 211012110120100 is an apocalyptic number.

11012110120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012110120100 is an abundant number, since it is smaller than the sum of its proper divisors (12927398564740).

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

11012110120100 is a wasteful number, since it uses less digits than its factorization.

11012110120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80817 (or 80810 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11012110120100 its reverse (102101121011), we get a palindrome (11114211241111).

The spelling of 11012110120100 in words is "eleven trillion, twelve billion, one hundred ten million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 829 1658 1697 3316 3394 4145 6788 8290 8485 16580 16970 20725 33940 41450 42425 78277 82900 84850 156554 169700 313108 391385 782770 1406813 1565540 1956925 2813626 3913850 5627252 7034065 7827700 14068130 28136260 35170325 64891633 70340650 129783266 132836069 140681300 259566532 265672138 324458165 531344276 648916330 664180345 1297832660 1328360690 1622290825 2656721380 3244581650 3320901725 6489163300 6641803450 13283606900 110121101201 220242202402 440484404804 550605506005 1101211012010 2202422024020 2753027530025 5506055060050 11012110120100