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12223213132013 = 137332969390673
BaseRepresentation
bin1011000111011111000001…
…0001101101100011101101
31121021112020201222002000222
42301313300101231203231
53100231120030211023
641555133330101125
72401045421226152
oct261676021554355
947245221862028
1012223213132013
113992921177724
121454b3541a7a5
136a884aca2520
1430386c9cc229
15162e49254cc8
hexb1df046d8ed

12223213132013 has 16 divisors (see below), whose sum is σ = 13344220564080. Its totient is φ = 11128038764544.

The previous prime is 12223213132003. The next prime is 12223213132033. The reversal of 12223213132013 is 31023131232221.

It can be written as a sum of positive squares in 8 ways, for example, as 16588667209 + 12206624464804 = 128797^2 + 3493798^2 .

It is a de Polignac number, because none of the positive numbers 2k-12223213132013 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 (12223213132003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31092245 + ... + 31482917.

It is an arithmetic number, because the mean of its divisors is an integer number (834013785255).

Almost surely, 212223213132013 is an apocalyptic number.

12223213132013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12223213132013 is a deficient number, since it is larger than the sum of its proper divisors (1121007432067).

12223213132013 is a wasteful number, since it uses less digits than its factorization.

12223213132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423728.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 12223213132013 its reverse (31023131232221), we get a palindrome (43246344364234).

The spelling of 12223213132013 in words is "twelve trillion, two hundred twenty-three billion, two hundred thirteen million, one hundred thirty-two thousand, thirteen".

Divisors: 1 13 73 949 32969 390673 428597 2406737 5078749 28519129 31287581 370748677 12880098137 167441275781 940247164001 12223213132013