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110112202121211 = 3441594311303879
BaseRepresentation
bin11001000010010101111110…
…101100010101111111111011
3112102212121211200122002220000
4121002111332230111333323
5103413034242220334321
61030104503004404043
732123226006022503
oct3102257654257773
9472777750562800
10110112202121211
11320a3360529594
1210424595846623
1349596c7a93364
141d2965d794a03
15cae40ece5826
hex64257eb15ffb

110112202121211 has 80 divisors (see below), whose sum is σ = 171754166707200. Its totient is φ = 70240429411200.

The previous prime is 110112202121203. The next prime is 110112202121237. The reversal of 110112202121211 is 112121202211011.

It is a happy number.

110112202121211 is a `hidden beast` number, since 1 + 10 + 11 + 220 + 212 + 1 + 211 = 666.

It is not a de Polignac number, because 110112202121211 - 23 = 110112202121203 is a prime.

It is a super-2 number, since 2×1101122021212112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110112202121011) 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 79 ways as a sum of consecutive naturals, for example, 83797770 + ... + 85101648.

It is an arithmetic number, because the mean of its divisors is an integer number (2146927083840).

Almost surely, 2110112202121211 is an apocalyptic number.

110112202121211 is a deficient number, since it is larger than the sum of its proper divisors (61641964585989).

110112202121211 is a wasteful number, since it uses less digits than its factorization.

110112202121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304422 (or 1304413 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110112202121211 its reverse (112121202211011), we get a palindrome (222233404332222).

The spelling of 110112202121211 in words is "one hundred ten trillion, one hundred twelve billion, two hundred two million, one hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 9 27 41 59 81 123 177 369 431 531 1107 1293 1593 2419 3321 3879 4779 7257 11637 17671 21771 25429 34911 53013 65313 76287 159039 195939 228861 477117 686583 1042589 1303879 1431351 2059749 3127767 3911637 9383301 11734911 28149903 35204733 53459039 76928861 84449709 105614199 160377117 230786583 481131351 561971849 692359749 1443394053 1685915547 2077079247 3154083301 4330182159 5057746641 6231237741 9462249903 15173239923 23040845809 28386749709 33156339091 45519719769 69122537427 85160249127 99469017273 207367612281 255480747381 298407051819 622102836843 895221155457 1359409902731 1866308510529 2685663466371 4078229708193 12234689124579 36704067373737 110112202121211