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220003220322123 = 372372511327121441
BaseRepresentation
bin110010000001011101111101…
…110010111111011101001011
31001211222002202200200212200220
4302001131331302333131023
5212314013043400301443
62055524030102201123
764224464614536600
oct6201357562773513
91054862680625626
10220003220322123
1164110929444027
12208121214231a3
13959b2a37a8364
143c482d983a6a7
151a67bc69d9a83
hexc8177dcbf74b

220003220322123 has 96 divisors (see below), whose sum is σ = 352116170800128. Its totient is φ = 121738256640000.

The previous prime is 220003220322077. The next prime is 220003220322143. The reversal of 220003220322123 is 321223022300022.

It is not a de Polignac number, because 220003220322123 - 29 = 220003220321611 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220003220322093 and 220003220322102.

It is not an unprimeable number, because it can be changed into a prime (220003220322143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1811545083 + ... + 1811666523.

It is an arithmetic number, because the mean of its divisors is an integer number (3667876779168).

Almost surely, 2220003220322123 is an apocalyptic number.

220003220322123 is a deficient number, since it is larger than the sum of its proper divisors (132112950478005).

220003220322123 is a wasteful number, since it uses less digits than its factorization.

220003220322123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123073 (or 123066 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 220003220322123 its reverse (321223022300022), we get a palindrome (541226242622145).

The spelling of 220003220322123 in words is "two hundred twenty trillion, three billion, two hundred twenty million, three hundred twenty-two thousand, one hundred twenty-three".

Divisors: 1 3 7 21 37 49 111 147 251 259 753 777 1327 1757 1813 3981 5271 5439 9287 9289 12299 27861 27867 36897 49099 65009 65023 121441 147297 195027 195069 333077 343693 364323 455063 850087 999231 1031079 1365189 2331539 2405851 2550261 4493317 5950609 6994617 7217553 12323849 13479951 16320773 17851827 30481691 31453219 36971547 48962319 86266943 91445073 94359657 161152207 213371837 220172533 258800829 483456621 603868601 640115511 660517599 1127822567 1128065449 1493602859 1811605803 3383467701 3384196347 4480808577 5962631659 7894757969 7896458143 17887894977 23684273907 23689374429 40449203957 41738421613 55263305783 121347611871 125215264839 165789917349 283144427699 292168951291 849433283097 876506853873 1496620546409 1982010993893 4489861639227 5946032981679 10476343824863 31429031474589 73334406774041 220003220322123