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111201662121 = 31121931520103
BaseRepresentation
bin110011110010000100…
…0101011010010101001
3101122000211112201220120
41213210020223102221
53310220111141441
6123030233313453
711014452350364
oct1474410532251
9348024481816
10111201662121
1143184491700
1219675265889
13a642453a94
14554ca270db
152d5c860966
hex19e422b4a9

111201662121 has 48 divisors (see below), whose sum is σ = 177085009920. Its totient is φ = 61788117600.

The previous prime is 111201662107. The next prime is 111201662123. The reversal of 111201662121 is 121266102111.

It is not a de Polignac number, because 111201662121 - 27 = 111201661993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111201662091 and 111201662100.

It is not an unprimeable number, because it can be changed into a prime (111201662123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46245 + ... + 473858.

It is an arithmetic number, because the mean of its divisors is an integer number (3689271040).

Almost surely, 2111201662121 is an apocalyptic number.

111201662121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111201662121 is a deficient number, since it is larger than the sum of its proper divisors (65883347799).

111201662121 is a wasteful number, since it uses less digits than its factorization.

111201662121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520178 (or 520167 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 111201662121 its reverse (121266102111), we get a palindrome (232467764232).

The spelling of 111201662121 in words is "one hundred eleven billion, two hundred one million, six hundred sixty-two thousand, one hundred twenty-one".

Divisors: 1 3 11 19 31 33 57 93 121 209 341 363 589 627 1023 1767 2299 3751 6479 6897 11253 19437 71269 213807 520103 1560309 5721133 9881957 16123193 17163399 29645871 48369579 62932463 108701527 177355123 188797389 306340667 326104581 532065369 919022001 1195716797 1950906353 3369747337 3587150391 5852719059 10109242011 37067220707 111201662121