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120220103312022 = 23737379653312589
BaseRepresentation
bin11011010101011011101100…
…100011011000001010010110
3120202122221002200222210010210
4123111123230203120022112
5111224141232421441042
61103404204130430250
734215421142363250
oct3325335443301226
9522587080883123
10120220103312022
113534007220826a
1211597565432386
13521092665693c
14219898104acd0
15dd7302951a9c
hex6d56ec8d8296

120220103312022 has 128 divisors (see below), whose sum is σ = 283394394086400. Its totient is φ = 33280929271296.

The previous prime is 120220103312011. The next prime is 120220103312083. The reversal of 120220103312022 is 220213301022021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 120220103312022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384438504 + ... + 384751092.

It is an arithmetic number, because the mean of its divisors is an integer number (2214018703800).

Almost surely, 2120220103312022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120220103312022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141697197043200).

120220103312022 is an abundant number, since it is smaller than the sum of its proper divisors (163174290774378).

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

120220103312022 is a wasteful number, since it uses less digits than its factorization.

120220103312022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313670.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 120220103312022 its reverse (220213301022021), we get a palindrome (340433404334043).

The spelling of 120220103312022 in words is "one hundred twenty trillion, two hundred twenty billion, one hundred three million, three hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 379 518 653 758 777 1137 1306 1554 1959 2274 2653 3918 4571 5306 7959 9142 13713 14023 15918 24161 27426 28046 42069 48322 72483 84138 98161 144966 169127 196322 247487 294483 312589 338254 494974 507381 588966 625178 742461 937767 1014762 1484922 1732409 1875534 2188123 3464818 4376246 5197227 6564369 9157019 10394454 11565793 13128738 18314038 23131586 27471057 34697379 54942114 64099133 69394758 80960551 118471231 128198266 161921102 192297399 204120617 236942462 242881653 355413693 384594798 408241234 485763306 612361851 710827386 829298617 1224723702 1428844319 1658597234 2487895851 2857688638 4286532957 4383435547 4975791702 7552462829 8573065914 8766871094 13150306641 15104925658 22657388487 26300613282 30684048829 45314776974 52867239803 61368097658 77361713843 92052146487 105734479606 154723427686 158601719409 184104292974 232085141529 317203438818 464170283058 541531996901 1083063993802 1624595990703 2862383412191 3249191981406 5724766824382 8587150236573 17174300473146 20036683885337 40073367770674 60110051656011 120220103312022