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12013023211213 = 1729215733715881
BaseRepresentation
bin1010111011001111111111…
…1110110010111011001101
31120112102201020112210001111
42232303333332302323031
53033310132420224323
641314412350412021
72346624625332223
oct256637776627315
946472636483044
1012013023211213
113911770473182
121420255201011
13691a9182a51b
142d760d46ab13
1515c746409c0d
hexaecfffb2ecd

12013023211213 has 48 divisors (see below), whose sum is σ = 13297488978384. Its totient is φ = 10814100111360.

The previous prime is 12013023211199. The next prime is 12013023211219. The reversal of 12013023211213 is 31211232031021.

It can be written as a sum of positive squares in 24 ways, for example, as 3544585647849 + 8468437563364 = 1882707^2 + 2910058^2 .

It is not a de Polignac number, because 12013023211213 - 213 = 12013023203021 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 (12013023211219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756432033 + ... + 756447913.

It is an arithmetic number, because the mean of its divisors is an integer number (277031020383).

Almost surely, 212013023211213 is an apocalyptic number.

It is an amenable number.

12013023211213 is a deficient number, since it is larger than the sum of its proper divisors (1284465767171).

12013023211213 is a wasteful number, since it uses less digits than its factorization.

12013023211213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16450 (or 16421 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12013023211213 its reverse (31211232031021), we get a palindrome (43224255242234).

The spelling of 12013023211213 in words is "twelve trillion, thirteen billion, twenty-three million, two hundred eleven thousand, two hundred thirteen".

Divisors: 1 17 29 157 337 493 841 2669 4553 5729 9773 14297 15881 52909 77401 132037 166141 269977 283417 460549 899453 1534361 2244629 2493317 4818089 5351897 7829333 13355921 26084137 42386389 44496469 72306193 90982249 155205013 227050657 756439973 840247829 1229205281 2096879597 2638485221 4500945377 14284213093 24367187041 35646953149 76516071409 414242179697 706648424189 12013023211213