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20111111022112 = 25111132791181157
BaseRepresentation
bin1001001001010011110111…
…01000001110011000100000
32122012121021220110020211221
410210221323220032120200
510114000023410201422
6110434530012544424
74143660036102565
oct444517350163040
978177256406757
1020111111022112
11645408a970540
122309802482114
13b2b614a20476
144d7550c0c86c
1524d2097903c7
hex124a7ba0e620

20111111022112 has 96 divisors (see below), whose sum is σ = 43591275633024. Its totient is φ = 9057220300800.

The previous prime is 20111111022029. The next prime is 20111111022179. The reversal of 20111111022112 is 21122011111102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110924238 + ... + 111105394.

It is an arithmetic number, because the mean of its divisors is an integer number (454075787844).

Almost surely, 220111111022112 is an apocalyptic number.

20111111022112 is a gapful number since it is divisible by the number (22) 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 20111111022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21795637816512).

20111111022112 is an abundant number, since it is smaller than the sum of its proper divisors (23480164610912).

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

20111111022112 is a wasteful number, since it uses less digits than its factorization.

20111111022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184082 (or 184074 counting only the distinct ones).

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

Adding to 20111111022112 its reverse (21122011111102), we get a palindrome (41233122133214).

It can be divided in two parts, 2011111102 and 2112, that multiplied together give a palindrome (4247466647424).

The spelling of 20111111022112 in words is "twenty trillion, one hundred eleven billion, one hundred eleven million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 113 176 226 352 452 904 1243 1808 2486 2791 3616 4972 5582 9944 11164 19888 22328 30701 39776 44656 61402 89312 122804 181157 245608 315383 362314 491216 630766 724628 982432 1261532 1449256 1992727 2523064 2898512 3469213 3985454 5046128 5797024 6938426 7970908 10092256 13876852 15941816 20470741 27753704 31883632 40941482 55507408 63767264 81882964 111014816 163765928 225178151 327531856 450356302 505609187 655063712 900712604 1011218374 1801425208 2022436748 3602850416 4044873496 5561701057 7205700832 8089746992 11123402114 16179493984 22246804228 44493608456 57133838131 88987216912 114267676262 177974433824 228535352524 457070705048 628472219441 914141410096 1256944438882 1828282820192 2513888877764 5027777755528 10055555511056 20111111022112