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12211103232133 = 131849350793037
BaseRepresentation
bin1011000110110001111001…
…1110000111000010000101
31121020100222210001102101121
42301230132132013002011
53100031314411412013
641545411532553541
72400136343615461
oct261543636070205
947210883042347
1012211103232133
113988777482703
1214527159228b1
136a766b13c0b0
143030405634a1
1516298b02658d
hexb1b1e787085

12211103232133 has 8 divisors (see below), whose sum is σ = 13151130226808. Its totient is φ = 11271177860544.

The previous prime is 12211103232073. The next prime is 12211103232137. The reversal of 12211103232133 is 33123230111221.

It can be written as a sum of positive squares in 4 ways, for example, as 2623304994244 + 9587798237889 = 1619662^2 + 3096417^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12211103232133 - 229 = 12210566361221 is a prime.

It is a super-2 number, since 2×122111032321332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12211103232098 and 12211103232107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211103232137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25156110 + ... + 25636927.

It is an arithmetic number, because the mean of its divisors is an integer number (1643891278351).

Almost surely, 212211103232133 is an apocalyptic number.

12211103232133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12211103232133 is a deficient number, since it is larger than the sum of its proper divisors (940026994675).

12211103232133 is a wasteful number, since it uses less digits than its factorization.

12211103232133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50811543.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 12211103232133 its reverse (33123230111221), we get a palindrome (45334333343354).

The spelling of 12211103232133 in words is "twelve trillion, two hundred eleven billion, one hundred three million, two hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 13 18493 240409 50793037 660309481 939315633241 12211103232133