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13230212313231 = 33372659543143
BaseRepresentation
bin1100000010000110011000…
…0110101111000010001111
31201211210111020120202011000
43000201212012233002033
53213230433323010411
644045513045231343
72533564665104304
oct300414606570217
951753436522130
1013230212313231
1142409a0a38001
12159812b402553
1374c7b03483c4
1433a4ba81b0ab
1517e2351c2956
hexc08661af08f

13230212313231 has 48 divisors (see below), whose sum is σ = 20174975251200. Its totient is φ = 8568721165536.

The previous prime is 13230212313229. The next prime is 13230212313233. The reversal of 13230212313231 is 13231321203231.

13230212313231 is a `hidden beast` number, since 1 + 3 + 2 + 302 + 1 + 2 + 31 + 323 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13230212313229) and next prime (13230212313233).

It is not a de Polignac number, because 13230212313231 - 21 = 13230212313229 is a prime.

It is a super-2 number, since 2×132302123132312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13230212313195 and 13230212313204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13230212313233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24087046 + ... + 24630188.

It is an arithmetic number, because the mean of its divisors is an integer number (420311984400).

Almost surely, 213230212313231 is an apocalyptic number.

13230212313231 is a deficient number, since it is larger than the sum of its proper divisors (6944762937969).

13230212313231 is an equidigital number, since it uses as much as digits as its factorization.

13230212313231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543885 (or 543842 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13230212313231 its reverse (13231321203231), we get a palindrome (26461533516462).

Subtracting 13230212313231 from its reverse (13231321203231), we obtain a square (1108890000 = 333002).

The spelling of 13230212313231 in words is "thirteen trillion, two hundred thirty billion, two hundred twelve million, three hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 9 27 37 111 333 659 999 1369 1977 4107 5931 12321 17793 24383 36963 73149 219447 543143 658341 902171 1629429 2706513 4888287 8119539 14664861 20096291 24358617 60288873 180866619 357931237 542599857 743562767 1073793711 2230688301 3221381133 6692064903 9664143399 13243455769 20076194709 39730367307 119191101921 357573305763 490007863453 1470023590359 4410070771077 13230212313231