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20211110102124 = 2234833132401169
BaseRepresentation
bin1001001100001110001000…
…00010011100010001101100
32122120011102000100212010000
410212013010002130101230
510122114323141231444
6110552504504144300
74154130102210114
oct446070402342154
978504360325100
1020211110102124
116492535828417
12232506ba68090
13b37b9029a226
144dc319ab0044
15250b0d897469
hex1261c409c46c

20211110102124 has 120 divisors (see below), whose sum is σ = 53643271152240. Its totient is φ = 6634600068096.

The previous prime is 20211110102077. The next prime is 20211110102143. The reversal of 20211110102124 is 42120101111202.

It is a super-2 number, since 2×202111101021242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20211110102097 and 20211110102106.

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 39 ways as a sum of consecutive naturals, for example, 7216612 + ... + 9617780.

It is an arithmetic number, because the mean of its divisors is an integer number (447027259602).

Almost surely, 220211110102124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211110102124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26821635576120).

20211110102124 is an abundant number, since it is smaller than the sum of its proper divisors (33432161050116).

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

20211110102124 is a wasteful number, since it uses less digits than its factorization.

20211110102124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401581 (or 2401570 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20211110102124 its reverse (42120101111202), we get a palindrome (62331211213326).

The spelling of 20211110102124 in words is "twenty trillion, two hundred eleven billion, one hundred ten million, one hundred two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 249 313 324 332 498 626 747 939 996 1252 1494 1878 2241 2817 2988 3756 4482 5634 6723 8451 8964 11268 13446 16902 25353 25979 26892 33804 50706 51958 77937 101412 103916 155874 233811 311748 467622 701433 935244 1402866 2104299 2401169 2805732 4208598 4802338 7203507 8417196 9604676 14407014 21610521 28814028 43221042 64831563 86442084 129663126 194494689 199297027 259326252 388989378 398594054 597891081 751565897 777978756 797188108 1195782162 1503131794 1793673243 2254697691 2391564324 3006263588 3587346486 4509395382 5381019729 6764093073 7174692972 9018790764 10762039458 13528186146 16143059187 20292279219 21524078916 27056372292 32286118374 40584558438 60876837657 62379969451 64572236748 81169116876 121753675314 124759938902 187139908353 243507350628 249519877804 374279816706 561419725059 748559633412 1122839450118 1684259175177 2245678900236 3368518350354 5052777525531 6737036700708 10105555051062 20211110102124