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210122210120020 = 2251117462112158063
BaseRepresentation
bin101111110001101011100011…
…101100011001000101010100
31000112222111011002202122121021
4233301223203230121011110
5210020120241242320040
62022520451041330524
762154554150603122
oct5761534354310524
91015874132678537
10210122210120020
1160a51368813360
121b697113036a44
139032593467493
1439c5d7d80c912
151945b6300324a
hexbf1ae3b19154

210122210120020 has 96 divisors (see below), whose sum is σ = 509797155442176. Its totient is φ = 71897915443200.

The previous prime is 210122210119993. The next prime is 210122210120101. The reversal of 210122210120020 is 20021012221012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 210122210119976 and 210122210120003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11203509 + ... + 23361571.

It is an arithmetic number, because the mean of its divisors is an integer number (5310387035856).

Almost surely, 2210122210120020 is an apocalyptic number.

210122210120020 is a gapful number since it is divisible by the number (20) 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 210122210120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254898577721088).

210122210120020 is an abundant number, since it is smaller than the sum of its proper divisors (299674945322156).

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

210122210120020 is a wasteful number, since it uses less digits than its factorization.

210122210120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12162721 (or 12162719 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210122210120020 its reverse (20021012221012), we get a palindrome (230143222341032).

The spelling of 210122210120020 in words is "two hundred ten trillion, one hundred twenty-two billion, two hundred ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 4621 9242 18484 23105 46210 50831 78557 92420 101662 157114 203324 254155 314228 392785 508310 785570 864127 1016620 1571140 1728254 3456508 4320635 8641270 12158063 17282540 24316126 48632252 60790315 121580630 133738693 206687071 243161260 267477386 413374142 534954772 668693465 826748284 1033435355 1337386930 2066870710 2273557781 2674773860 4133741420 4547115562 9094231124 11367788905 22735577810 45471155620 56182409123 112364818246 224729636492 280912045615 561824091230 618006500353 955100955091 1123648182460 1236013000706 1910201910182 2472026001412 3090032501765 3820403820364 4775504775455 6180065003530 9551009550910 10506110506001 12360130007060 19102019101820 21012221012002 42024442024004 52530552530005 105061105060010 210122210120020