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13212422421231 = 3111949374268269
BaseRepresentation
bin1100000001000100000110…
…1111101011101011101111
31201210002120102202121010010
43000101001233223223233
53212433020114434411
644033411510144303
72532365100366045
oct300210157535357
951702512677103
1013212422421231
1142343a2011920
1215947a5652093
1374ac06800ba7
143396adc84395
1517da434bd7a6
hexc0441bebaef

13212422421231 has 32 divisors (see below), whose sum is σ = 20233648569600. Its totient is φ = 7584541505280.

The previous prime is 13212422421221. The next prime is 13212422421241.

13212422421231 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (13212422421221) and next prime (13212422421241).

It is not a de Polignac number, because 13212422421231 - 218 = 13212422159087 is a prime.

It is a super-2 number, since 2×132124224212312 (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 (13212422421221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 961365 + ... + 5229633.

It is an arithmetic number, because the mean of its divisors is an integer number (632301517800).

Almost surely, 213212422421231 is an apocalyptic number.

13212422421231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13212422421231 is a deficient number, since it is larger than the sum of its proper divisors (7021226148369).

13212422421231 is a wasteful number, since it uses less digits than its factorization.

13212422421231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273239.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 1321242 and 2421231, that added together give a palindrome (3742473).

The spelling of 13212422421231 in words is "thirteen trillion, two hundred twelve billion, four hundred twenty-two million, four hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 3 11 19 33 57 209 627 4937 14811 54307 93803 162921 281409 1031833 3095499 4268269 12804807 46950959 81097111 140852877 243291333 892068221 2676204663 21072444053 63217332159 231796884583 400376437007 695390653749 1201129311021 4404140807077 13212422421231