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20102002220112 = 24319471393373897
BaseRepresentation
bin1001001001000010111001…
…01100111001110001010000
32122011201210002122011112220
410210201130230321301100
510113322400032020422
6110430422103421040
74143215232416541
oct444413454716120
978151702564486
1020102002220112
1164502362167aa
122307a9ba54780
13b2a7c28671b7
144d6d291944c8
1524cd74c70e5c
hex12485cb39c50

20102002220112 has 160 divisors (see below), whose sum is σ = 56228034508800. Its totient is φ = 6168237640704.

The previous prime is 20102002220081. The next prime is 20102002220119. The reversal of 20102002220112 is 21102220020102.

It is a super-3 number, since 3×201020022201123 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20102002220091 and 20102002220100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102002220119) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4271148 + ... + 7645044.

It is an arithmetic number, because the mean of its divisors is an integer number (351425215680).

Almost surely, 220102002220112 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 20102002220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28114017254400).

20102002220112 is an abundant number, since it is smaller than the sum of its proper divisors (36126032288688).

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

20102002220112 is a wasteful number, since it uses less digits than its factorization.

20102002220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374113 (or 3374107 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20102002220112 its reverse (21102220020102), we get a palindrome (41204222240214).

The spelling of 20102002220112 in words is "twenty trillion, one hundred two billion, two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 47 48 57 76 94 114 139 141 152 188 228 278 282 304 376 417 456 556 564 752 834 893 912 1112 1128 1668 1786 2224 2256 2641 2679 3336 3572 5282 5358 6533 6672 7144 7923 10564 10716 13066 14288 15846 19599 21128 21432 26132 31692 39198 42256 42864 52264 63384 78396 104528 124127 126768 156792 248254 313584 372381 496508 744762 993016 1489524 1986032 2979048 3373897 5958096 6747794 10121691 13495588 20243382 26991176 40486764 53982352 64104043 80973528 128208086 158573159 161947056 192312129 256416172 317146318 384624258 468971683 475719477 512832344 634292636 769248516 937943366 951438954 1025664688 1268585272 1406915049 1538497032 1875886732 1902877908 2537170544 2813830098 3012890021 3076994064 3751773464 3805755816 5627660196 6025780042 7503546928 7611511632 8910461977 9038670063 11255320392 12051560084 17820923954 18077340126 22041669101 22510640784 24103120168 26731385931 35641847908 36154680252 44083338202 48206240336 53462771862 66125007303 71283695816 72309360504 88166676404 106925543724 132250014606 142567391632 144618721008 176333352808 213851087448 264500029212 352666705616 418791712919 427702174896 529000058424 837583425838 1058000116848 1256375138757 1675166851676 2512750277514 3350333703352 5025500555028 6700667406704 10051001110056 20102002220112