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11202022001120 = 255592081570233
BaseRepresentation
bin1010001100000010110010…
…0010101100100111100000
31110122220101011200122220012
42203000230202230213200
52432013220113013440
635454045440104052
72234214355644326
oct243005442544740
943586334618805
1011202022001120
113629829424515
12130b03a605028
136334666217a2
142aa275ddbd16
151465cc3d9e65
hexa302c8ac9e0

11202022001120 has 96 divisors (see below), whose sum is σ = 26926312623840. Its totient is φ = 4402738462720.

The previous prime is 11202022001089. The next prime is 11202022001197. The reversal of 11202022001120 is 2110022020211.

It is a junction number, because it is equal to n+sod(n) for n = 11202022001095 and 11202022001104.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19359524 + ... + 19929756.

It is an arithmetic number, because the mean of its divisors is an integer number (280482423165).

Almost surely, 211202022001120 is an apocalyptic number.

11202022001120 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 11202022001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13463156311920).

11202022001120 is an abundant number, since it is smaller than the sum of its proper divisors (15724290622720).

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

11202022001120 is a wasteful number, since it uses less digits than its factorization.

11202022001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572388 (or 572380 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11202022001120 its reverse (2110022020211), we get a palindrome (13312044021331).

The spelling of 11202022001120 in words is "eleven trillion, two hundred two billion, twenty-two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1180 1888 2081 2360 4162 4720 8324 9440 10405 16648 20810 33296 41620 66592 83240 122779 166480 245558 332960 491116 570233 613895 982232 1140466 1227790 1964464 2280932 2455580 2851165 3928928 4561864 4911160 5702330 9123728 9822320 11404660 18247456 19644640 22809320 33643747 45618640 67287494 91237280 134574988 168218735 269149976 336437470 538299952 672874940 1076599904 1186654873 1345749880 2373309746 2691499760 4746619492 5382999520 5933274365 9493238984 11866548730 18986477968 23733097460 37972955936 47466194920 70012637507 94932389840 140025275014 189864779680 280050550028 350063187535 560101100056 700126375070 1120202200112 1400252750140 2240404400224 2800505500280 5601011000560 11202022001120