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11120022211011 = 372959718352517
BaseRepresentation
bin1010000111010001010011…
…1110010100100111000011
31110101001201110121201120220
42201310110332110213003
52424142301141223021
635352245004034123
72225252342144010
oct241642476244703
943331643551526
1011120022211011
1135a7a7a70453a
1212b7174b32943
136287c90b701c
142a62d7820707
151443cd59acc6
hexa1d14f949c3

11120022211011 has 128 divisors (see below), whose sum is σ = 18295422566400. Its totient is φ = 5874498577920.

The previous prime is 11120022210977. The next prime is 11120022211027. The reversal of 11120022211011 is 11011222002111.

It is a happy number.

It is not a de Polignac number, because 11120022211011 - 234 = 11102842341827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11120022211211) 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, 211715125 + ... + 211767641.

It is an arithmetic number, because the mean of its divisors is an integer number (142932988800).

Almost surely, 211120022211011 is an apocalyptic number.

11120022211011 is a deficient number, since it is larger than the sum of its proper divisors (7175400355389).

11120022211011 is a wasteful number, since it uses less digits than its factorization.

11120022211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52769.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11120022211011 its reverse (11011222002111), we get a palindrome (22131244213122).

The spelling of 11120022211011 in words is "eleven trillion, one hundred twenty billion, twenty-two million, two hundred eleven thousand, eleven".

Divisors: 1 3 7 21 29 59 71 83 87 177 203 213 249 413 497 581 609 1239 1491 1711 1743 2059 2407 4189 4897 5133 5893 6177 7221 11977 12567 14413 14691 16849 17679 29323 34279 35931 41251 43239 50547 52517 87969 102837 121481 123753 142013 157551 170897 347687 364443 367619 426039 512691 850367 994091 1043061 1102857 1196279 1522993 2433809 2551101 2982273 3098503 3588837 3728707 4358911 4568979 7301427 9295509 10082923 10660951 11186121 13076733 21689521 26100949 30248769 30512377 31982853 65068563 70580461 78302847 89856587 91537131 108132503 126408419 211741383 219993713 257175749 269569761 309482681 324397509 379225257 628996109 659981139 756927521 771527247 884858933 928448043 1539955991 1800230243 1886988327 2166378767 2270782563 2654576799 4619867973 5400690729 6379817677 6499136301 7458096721 8974997749 18259478179 19139453031 22374290163 26924993247 44658723739 52206677047 54778434537 62824984243 127816347253 133976171217 156620031141 188474952729 383449041759 529524867191 1588574601573 3706674070337 11120022211011