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20101222000002 = 231113671133094439
BaseRepresentation
bin1001001001000001011100…
…01100100110010110000010
32122011122202201111212202210
410210200232030212112002
510113314300313000002
6110430212432522550
74143160006564413
oct444405614462602
978148681455683
1020101222000002
11644a9758658a0
1223079026b0456
13b2a6ca01b4b0
144d6c936d780a
1524cd2b50496c
hex12482e326582

20101222000002 has 128 divisors (see below), whose sum is σ = 48360007342080. Its totient is φ = 5489780567040.

The previous prime is 20101221999983. The next prime is 20101222000009. The reversal of 20101222000002 is 20000022210102.

It is not an unprimeable number, because it can be changed into a prime (20101222000009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4948699 + ... + 8043137.

It is an arithmetic number, because the mean of its divisors is an integer number (377812557360).

Almost surely, 220101222000002 is an apocalyptic number.

20101222000002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101222000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24180003671040).

20101222000002 is an abundant number, since it is smaller than the sum of its proper divisors (28258785342078).

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

20101222000002 is a wasteful number, since it uses less digits than its factorization.

20101222000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094648.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20101222000002 its reverse (20000022210102), we get a palindrome (40101244210104).

The spelling of 20101222000002 in words is "twenty trillion, one hundred one billion, two hundred twenty-two million, two", and thus it is an aban number.

Divisors: 1 2 3 6 11 13 22 26 33 39 66 67 78 113 134 143 201 226 286 339 402 429 678 737 858 871 1243 1469 1474 1742 2211 2486 2613 2938 3729 4407 4422 5226 7458 7571 8814 9581 15142 16159 19162 22713 28743 32318 45426 48477 57486 83281 96954 98423 166562 196846 249843 295269 499686 590538 1082653 2165306 3094439 3247959 6188878 6495918 9283317 18566634 34038829 40227707 68077658 80455414 102116487 120683121 204232974 207327413 241366242 349671607 414654826 442504777 621982239 699343214 885009554 1049014821 1243964478 1327514331 2098029642 2280601543 2655028662 2695256369 3846387677 4545730891 4561203086 5390512738 6841804629 7692775354 8085769107 9091461782 11539163031 13637192673 13683609258 16171538214 23078326062 23427997669 27274385346 29647820059 46855995338 50003039801 59295640118 70283993007 88943460177 100006079602 140567986014 150009119403 177886920354 257707974359 300018238806 304563969697 515415948718 609127939394 773123923077 913691909091 1546247846154 1827383818182 3350203666667 6700407333334 10050611000001 20101222000002