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220212122220102 = 23417356692163101
BaseRepresentation
bin110010000100100000100001…
…010100011111011001000110
31001212201001222102110211112110
4302010200201110133121012
5212330423411242020402
62100204015151001450
764245541450426125
oct6204404124373106
91055631872424473
10220212122220102
1164191489090a01
1220846702209286
1395b4bb6149b8c
143c54475cb7abc
151a6d35170d56c
hexc8482151f646

220212122220102 has 64 divisors (see below), whose sum is σ = 457427545928640. Its totient is φ = 70620196608000.

The previous prime is 220212122220059. The next prime is 220212122220137. The reversal of 220212122220102 is 201022221212022.

It is a super-2 number, since 2×2202121222201022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 100722352 + ... + 102885452.

It is an arithmetic number, because the mean of its divisors is an integer number (7147305405135).

Almost surely, 2220212122220102 is an apocalyptic number.

220212122220102 is an abundant number, since it is smaller than the sum of its proper divisors (237215423708538).

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

220212122220102 is a wasteful number, since it uses less digits than its factorization.

220212122220102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168889.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 220212122220102 its reverse (201022221212022), we get a palindrome (421234343432124).

The spelling of 220212122220102 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred twenty-two million, two hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 41 73 82 123 146 219 246 438 2993 5669 5986 8979 11338 17007 17958 34014 232429 413837 464858 697287 827674 1241511 1394574 2163101 2483022 4326202 6489303 12978606 16967317 33934634 50901951 88687141 101803902 157906373 177374282 266061423 315812746 473719119 532122846 947438238 6474161293 12262619569 12948322586 19422483879 24525239138 36787858707 38844967758 73575717414 502767402329 895171228537 1005534804658 1508302206987 1790342457074 2685513685611 3016604413974 5371027371222 36702020370017 73404040740034 110106061110051 220212122220102