Search a number
-
+
12023002211103 = 341388491290299
BaseRepresentation
bin1010111011110101001011…
…0001101010001100011111
31120120101110200210111110000
42232331102301222030133
53033441102031223403
641323142503145343
72350430126411322
oct256752261521437
946511420714400
1012023002211103
113915a21344524
12142217b145253
136929c20742a0
142d7cb88c47b9
1515cb2c51a7a3
hexaef52c6a31f

12023002211103 has 40 divisors (see below), whose sum is σ = 19344048570000. Its totient is φ = 7397928744192.

The previous prime is 12023002211057. The next prime is 12023002211107. The reversal of 12023002211103 is 30111220032021.

12023002211103 is a `hidden beast` number, since 120 + 230 + 0 + 2 + 211 + 103 = 666.

It is not a de Polignac number, because 12023002211103 - 229 = 12022465340191 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023002211107) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8672848 + ... + 9963146.

It is an arithmetic number, because the mean of its divisors is an integer number (483601214250).

Almost surely, 212023002211103 is an apocalyptic number.

12023002211103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12023002211103 is a deficient number, since it is larger than the sum of its proper divisors (7321046358897).

12023002211103 is a wasteful number, since it uses less digits than its factorization.

12023002211103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299173 (or 1299164 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12023002211103 its reverse (30111220032021), we get a palindrome (42134222243124).

The spelling of 12023002211103 in words is "twelve trillion, twenty-three billion, two million, two hundred eleven thousand, one hundred three".

Divisors: 1 3 9 13 27 39 81 117 351 1053 8849 26547 79641 115037 238923 345111 716769 1035333 1290299 3105999 3870897 9317997 11612691 16773887 34838073 50321661 104514219 150964983 452894949 1358684847 11417855851 34253567553 102760702659 148432126063 308282107977 445296378189 924846323931 1335889134567 4007667403701 12023002211103