Search a number
-
+
11120202110100 = 22352318423141959
BaseRepresentation
bin1010000111010001111110…
…1100100101010010010100
31110101002012000010112202010
42201310133230211102110
52424143133220010400
635352314511544220
72225256655232106
oct241643754452224
943332160115663
1011120202110100
1135a8062208376
1212b720522b070
13628827453ca5
142a631368d576
151443de284450
hexa1d1fb25494

11120202110100 has 144 divisors (see below), whose sum is σ = 33216514007040. Its totient is φ = 2869368662400.

The previous prime is 11120202110093. The next prime is 11120202110161. The reversal of 11120202110100 is 101120202111.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 78262921 + ... + 78404879.

It is an arithmetic number, because the mean of its divisors is an integer number (230670236160).

Almost surely, 211120202110100 is an apocalyptic number.

11120202110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120202110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16608257003520).

11120202110100 is an abundant number, since it is smaller than the sum of its proper divisors (22096311896940).

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

11120202110100 is a wasteful number, since it uses less digits than its factorization.

11120202110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150430 (or 150423 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11120202110100 its reverse (101120202111), we get a palindrome (11221322312211).

The spelling of 11120202110100 in words is "eleven trillion, one hundred twenty billion, two hundred two million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 8423 9300 16846 25269 33692 42115 50538 84230 101076 126345 141959 168460 210575 252690 261113 283918 421150 425877 505380 522226 567836 631725 709795 783339 842300 851754 1044452 1263450 1305565 1419590 1566678 1703508 2129385 2526900 2611130 2839180 3133356 3548975 3916695 4258770 4400729 5222260 6527825 7097950 7833390 8517540 8801458 10646925 13055650 13202187 14195900 15666780 17602916 19583475 21293850 22003645 26111300 26404374 39166950 42587700 44007290 52808748 66010935 78333900 88014580 110018225 132021870 220036450 264043740 330054675 440072900 660109350 1195720657 1320218700 2391441314 3587161971 4782882628 5978603285 7174323942 11957206570 14348647884 17935809855 23914413140 29893016425 35871619710 37067340367 59786032850 71743239420 74134680734 89679049275 111202021101 119572065700 148269361468 179358098550 185336701835 222404042202 358716197100 370673403670 444808084404 556010105505 741346807340 926683509175 1112020211010 1853367018350 2224040422020 2780050527525 3706734036700 5560101055050 11120202110100