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12233221221013 = 134122951634561
BaseRepresentation
bin1011001000000100010011…
…0011100010101010010101
31121022111002012221200011221
42302001010303202222111
53100412114113033023
642003510402130341
72401551424461202
oct262010463425225
947274065850157
1012233221221013
113997097507061
121456a690509b1
136a9784562790
1430413bc58ca9
15163332bae85d
hexb2044ce2a95

12233221221013 has 8 divisors (see below), whose sum is σ = 13495561122456. Its totient is φ = 11016784588800.

The previous prime is 12233221221007. The next prime is 12233221221017. The reversal of 12233221221013 is 31012212233221.

It can be written as a sum of positive squares in 4 ways, for example, as 183387784644 + 12049833436369 = 428238^2 + 3471287^2 .

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 12233221221013 - 217 = 12233221089941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233221221017) 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, 11475816748 + ... + 11475817813.

It is an arithmetic number, because the mean of its divisors is an integer number (1686945140307).

Almost surely, 212233221221013 is an apocalyptic number.

12233221221013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12233221221013 is a deficient number, since it is larger than the sum of its proper divisors (1262339901443).

12233221221013 is a wasteful number, since it uses less digits than its factorization.

12233221221013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22951634615.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 12233221221013 its reverse (31012212233221), we get a palindrome (43245433454234).

The spelling of 12233221221013 in words is "twelve trillion, two hundred thirty-three billion, two hundred twenty-one million, two hundred twenty-one thousand, thirteen".

Divisors: 1 13 41 533 22951634561 298371249293 941017017001 12233221221013