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221120202201020 = 2253113719913081667
BaseRepresentation
bin110010010001101110001111…
…000110101101011110111100
31001222220212220002011110212022
4302101232033012231132330
5212440313133230413040
62102141115112255312
764401256513053263
oct6221561706553674
91058825802143768
10221120202201020
1164501607606a81
12209726b03a1538
13964c7128a0885
143c863bc4275da
151a86c9d2836b5
hexc91b8f1ad7bc

221120202201020 has 96 divisors (see below), whose sum is σ = 485256625459200. Its totient is φ = 84543144491520.

The previous prime is 221120202201007. The next prime is 221120202201043. The reversal of 221120202201020 is 20102202021122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 221120202201020.

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, 10362227 + ... + 23443893.

It is an arithmetic number, because the mean of its divisors is an integer number (5054756515200).

Almost surely, 2221120202201020 is an apocalyptic number.

221120202201020 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 221120202201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242628312729600).

221120202201020 is an abundant number, since it is smaller than the sum of its proper divisors (264136423258180).

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

221120202201020 is a wasteful number, since it uses less digits than its factorization.

221120202201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13082043 (or 13082041 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221120202201020 its reverse (20102202021122), we get a palindrome (241222404222142).

The spelling of 221120202201020 in words is "two hundred twenty-one trillion, one hundred twenty billion, two hundred two million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 137 155 199 274 310 398 548 620 685 796 995 1370 1990 2740 3980 4247 6169 8494 12338 16988 21235 24676 27263 30845 42470 54526 61690 84940 109052 123380 136315 272630 545260 845153 1690306 3380612 4225765 8451530 13081667 16903060 26163334 52326668 65408335 130816670 261633340 405531677 811063354 1622126708 1792188379 2027658385 2603251733 3584376758 4055316770 5206503466 7168753516 8110633540 8960941895 10413006932 13016258665 17921883790 26032517330 35843767580 52065034660 55557839749 80700803723 111115679498 161401607446 222231358996 277789198745 322803214892 356645487421 403504018615 555578397490 713290974842 807008037230 1111156794980 1426581949684 1614016074460 1783227437105 3566454874210 7132909748420 11056010110051 22112020220102 44224040440204 55280050550255 110560101100510 221120202201020