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120022002211111 = 711133147528115583
BaseRepresentation
bin11011010010100011001100…
…110011101001100100100111
3120201221222202200211011111021
4123102203030303221210213
5111212420030031223421
61103133202512352011
734165206046662220
oct3322431463514447
9521858680734437
10120022002211111
1135274055310060
1211565099845607
1351c80458741c0
14218d14b228247
15dd20ab06e341
hex6d28ccce9927

120022002211111 has 128 divisors (see below), whose sum is σ = 169929124872192. Its totient is φ = 81746413056000.

The previous prime is 120022002211063. The next prime is 120022002211117. The reversal of 120022002211111 is 111112200220021.

It is not a de Polignac number, because 120022002211111 - 217 = 120022002080039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120022002211117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7702103626 + ... + 7702119208.

It is an arithmetic number, because the mean of its divisors is an integer number (1327571288064).

Almost surely, 2120022002211111 is an apocalyptic number.

120022002211111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120022002211111 is a deficient number, since it is larger than the sum of its proper divisors (49907122661081).

120022002211111 is a wasteful number, since it uses less digits than its factorization.

120022002211111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20973.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120022002211111 its reverse (111112200220021), we get a palindrome (231134202431132).

The spelling of 120022002211111 in words is "one hundred twenty trillion, twenty-two billion, two million, two hundred eleven thousand, one hundred eleven".

Divisors: 1 7 11 13 31 47 77 91 143 217 329 341 403 517 611 1001 1457 2387 2821 3619 4277 4433 5281 6721 10199 15583 16027 18941 31031 36967 47047 58091 68653 109081 112189 132587 163711 171413 202579 208351 248207 406637 480571 483073 732401 755183 1145977 1199891 1418053 1458457 1737449 1800821 2128243 2228369 2730277 3226691 3381511 5126807 5286281 5313803 6279949 7694417 8056411 9521213 12605747 14897701 15598583 19111939 22586837 22704431 23410673 35493601 37196621 43959643 53860919 56394877 66648491 69079439 82293823 84638587 100027421 104733343 158931017 163874711 248455207 249748741 295157603 483556073 576056761 592470109 700191947 733133401 905232053 1069819699 1100301631 1748241187 2066103221 2551108513 3246733633 3867809681 6336624371 7488737893 7702111417 11768016689 17857759591 22727135431 27074667767 28062193643 33164410669 42545906491 50281525853 82376116823 119902100111 196435355501 232150874683 297821345437 351970680971 364808517359 553096784383 839314700777 1318923101221 1558727301443 2553659621513 3871677490681 9232461708547 10911091110101 17146000315873 120022002211111