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12202020200100 = 22352791060748539
BaseRepresentation
bin1011000110010000000100…
…0101000101111010100100
31121012111112202201120211210
42301210001011011322210
53044404214132400400
641541310344031420
72366365302252513
oct261440105057244
947174482646753
1012202020200100
11398493632a265
1214509bba62570
136a6851409623
1430281c0d667a
151626088e7950
hexb1901145ea4

12202020200100 has 144 divisors (see below), whose sum is σ = 35755511500800. Its totient is φ = 3212314734720.

The previous prime is 12202020200087. The next prime is 12202020200119. The reversal of 12202020200100 is 100202020221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 251361631 + ... + 251410169.

It is an arithmetic number, because the mean of its divisors is an integer number (248302163200).

Almost surely, 212202020200100 is an apocalyptic number.

12202020200100 is a gapful number since it is divisible by the number (10) 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 12202020200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17877755750400).

12202020200100 is an abundant number, since it is smaller than the sum of its proper divisors (23553491300700).

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

12202020200100 is a wasteful number, since it uses less digits than its factorization.

12202020200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59242 (or 59235 counting only the distinct ones).

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

Adding to 12202020200100 its reverse (100202020221), we get a palindrome (12302222220321).

The spelling of 12202020200100 in words is "twelve trillion, two hundred two billion, twenty million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1185 1580 1975 2370 3950 4740 5925 7900 10607 11850 21214 23700 31821 42428 48539 53035 63642 97078 106070 127284 145617 159105 194156 212140 242695 265175 291234 318210 485390 530350 582468 636420 728085 795525 837953 970780 1060700 1213475 1456170 1591050 1675906 2426950 2513859 2912340 3182100 3351812 3640425 3834581 4189765 4853900 5027718 7280850 7669162 8379530 10055436 11503743 12569295 14561700 15338324 16759060 19172905 20948825 23007486 25138590 38345810 41897650 46014972 50277180 57518715 62846475 76691620 83795300 95864525 115037430 125692950 191729050 230074860 251385900 287593575 383458100 514853173 575187150 1029706346 1150374300 1544559519 2059412692 2574265865 3089119038 5148531730 6178238076 7722797595 10297063460 12871329325 15445595190 25742658650 30891190380 38613987975 40673400667 51485317300 77227975950 81346801334 122020202001 154455951900 162693602668 203367003335 244040404002 406734006670 488080808004 610101010005 813468013340 1016835016675 1220202020010 2033670033350 2440404040020 3050505050025 4067340066700 6101010100050 12202020200100