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212202101202212 = 2211241271103138273
BaseRepresentation
bin110000001111111100100110…
…110111001101110100100100
31000211100022201021202222102102
4300033330212313031310210
5210303204400401432322
62031152144405431232
762461044613236152
oct6017744667156444
91024308637688372
10212202101202212
1161683451038700
121b97223240b518
1391537593b9a44
143a588ca7a43d2
15197ece4b37792
hexc0ff26dcdd24

212202101202212 has 144 divisors (see below), whose sum is σ = 420098784763392. Its totient is φ = 93662300160000.

The previous prime is 212202101202193. The next prime is 212202101202229.

212202101202212 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5544414308 + ... + 5544452580.

It is an arithmetic number, because the mean of its divisors is an integer number (2917352671968).

Almost surely, 2212202101202212 is an apocalyptic number.

212202101202212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212202101202212 is a deficient number, since it is larger than the sum of its proper divisors (207896683561180).

212202101202212 is a wasteful number, since it uses less digits than its factorization.

212202101202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39642 (or 39629 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 21220210 and 1202212, that added together give a palindrome (22422422).

The spelling of 212202101202212 in words is "two hundred twelve trillion, two hundred two billion, one hundred one million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 4 11 22 41 44 82 121 164 242 271 451 484 542 902 1031 1084 1804 2062 2981 4124 4961 5962 9922 11111 11341 11924 19844 22222 22682 32791 38273 42271 44444 45364 65582 76546 84542 122221 124751 131164 153092 169084 244442 249502 279401 421003 464981 488884 499004 558802 842006 929962 1117604 1344431 1569193 1684012 1859924 2688862 3073411 3138386 4631033 5114791 5377724 6146822 6276772 9262066 10229582 10371983 11455441 12293644 17261123 18524132 20459164 20743966 22910882 33807521 34522246 39459463 41487932 45821764 67615042 69044492 78918926 114091813 126009851 135230084 157837852 189872353 228183626 252019702 379744706 425251303 434054093 456367252 504039404 759489412 850502606 868108186 1255009943 1386108361 1617837983 1701005212 1736216372 2510019886 2772216722 3235675966 4677764333 4774595023 5020039772 5544433444 6471351932 9355528666 9549190046 10693514473 17796217813 18711057332 19098380092 21387028946 35592435626 42774057892 51455407663 71184871252 102910815326 117628659203 195758395943 205821630652 235257318406 391516791886 438434093393 470514636812 783033583772 876868186786 1293915251233 1753736373572 2587830502466 4822775027323 5175661004932 9645550054646 19291100109292 53050525300553 106101050601106 212202101202212