Search a number
-
+
12233455405101 = 3271636311867129
BaseRepresentation
bin1011001000000101001011…
…0000111000100000101101
31121022111200112121110100200
42302001102300320200231
53100413104040430401
642003545525344113
72401560300141510
oct262012260704055
947274615543320
1012233455405101
1139971a7718027
121456b13568039
136a97c0c28348
14304160db8d77
1516334851c686
hexb2052c3882d

12233455405101 has 24 divisors (see below), whose sum is σ = 20196146393280. Its totient is φ = 6990118140096.

The previous prime is 12233455405033. The next prime is 12233455405109. The reversal of 12233455405101 is 10150455433221.

12233455405101 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 3 + 4 + 5 + 540 + 5 + 101 = 666.

It is not a de Polignac number, because 12233455405101 - 218 = 12233455142957 is a prime.

It is a super-2 number, since 2×122334554051012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233455405109) 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 23 ways as a sum of consecutive naturals, for example, 4902696 + ... + 6964433.

It is an arithmetic number, because the mean of its divisors is an integer number (841506099720).

Almost surely, 212233455405101 is an apocalyptic number.

It is an amenable number.

12233455405101 is a deficient number, since it is larger than the sum of its proper divisors (7962690988179).

12233455405101 is a wasteful number, since it uses less digits than its factorization.

12233455405101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11883505 (or 11883502 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 12233455405101 in words is "twelve trillion, two hundred thirty-three billion, four hundred fifty-five million, four hundred five thousand, one hundred one".

Divisors: 1 3 7 9 21 63 16363 49089 114541 147267 343623 1030869 11867129 35601387 83069903 106804161 249209709 747629127 194181831827 582545495481 1359272822789 1747636486443 4077818468367 12233455405101