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201122200011000 = 23353101663769637
BaseRepresentation
bin101101101110101101101001…
…010010011100000011111000
3222101010002112220221020021210
4231232231221102130003320
5202330141231200323000
61551430132502203120
760235412415112302
oct5556555122340370
9871102486836253
10201122200011000
11590a149a730174
121a6829b5a234a0
13882b985478428
14379451b654972
15183b9b39cb350
hexb6eb6949c0f8

201122200011000 has 128 divisors (see below), whose sum is σ = 633714148791360. Its totient is φ = 53101570880000.

The previous prime is 201122200010971. The next prime is 201122200011001. The reversal of 201122200011000 is 110002221102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122200011001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331581819 + ... + 332187818.

Almost surely, 2201122200011000 is an apocalyptic number.

201122200011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122200011000 is an abundant number, since it is smaller than the sum of its proper divisors (432591948780360).

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

201122200011000 is a wasteful number, since it uses less digits than its factorization.

201122200011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663769762 (or 663769748 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201122200011000 its reverse (110002221102), we get a palindrome (201232202232102).

The spelling of 201122200011000 in words is "two hundred one trillion, one hundred twenty-two billion, two hundred million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 125 150 200 202 250 300 303 375 404 500 505 600 606 750 808 1000 1010 1212 1500 1515 2020 2424 2525 3000 3030 4040 5050 6060 7575 10100 12120 12625 15150 20200 25250 30300 37875 50500 60600 75750 101000 151500 303000 663769637 1327539274 1991308911 2655078548 3318848185 3982617822 5310157096 6637696370 7965235644 9956544555 13275392740 15930471288 16594240925 19913089110 26550785480 33188481850 39826178220 49782722775 66376963700 67040733337 79652356440 82971204625 99565445550 132753927400 134081466674 165942409250 199130891100 201122200011 248913613875 268162933348 331884818500 335203666685 398261782200 402244400022 497827227750 536325866696 663769637000 670407333370 804488800044 995654455500 1005611000055 1340814666740 1608977600088 1676018333425 1991308911000 2011222000110 2681629333480 3352036666850 4022444000220 5028055000275 6704073333700 8044888000440 8380091667125 10056110000550 13408146667400 16760183334250 20112220001100 25140275001375 33520366668500 40224440002200 50280550002750 67040733337000 100561100005500 201122200011000