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13231321203231 = 33372615868217
BaseRepresentation
bin1100000010001010100000…
…1100110100001000011111
31201211220100112011012021000
43000202220030310020133
53213240221212000411
644050215100441343
72533634321364615
oct300425014641037
951756315135230
1013231321203231
11424140a97451a
12159839a849253
1374c928cbc631
1433a583bd16b5
1517e29c712956
hexc08a833421f

13231321203231 has 48 divisors (see below), whose sum is σ = 20476325160480. Its totient is φ = 8441780808960.

The previous prime is 13231321203209. The next prime is 13231321203263. The reversal of 13231321203231 is 13230212313231.

13231321203231 is a `hidden beast` number, since 1 + 3 + 2 + 313 + 2 + 1 + 20 + 323 + 1 = 666.

It is not a de Polignac number, because 13231321203231 - 29 = 13231321202719 is a prime.

It is a super-2 number, since 2×132313212032312 (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 = 13231321203195 and 13231321203204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13231321203631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679366 + ... + 5188851.

It is an arithmetic number, because the mean of its divisors is an integer number (426590107510).

Almost surely, 213231321203231 is an apocalyptic number.

13231321203231 is a deficient number, since it is larger than the sum of its proper divisors (7245003957249).

13231321203231 is an equidigital number, since it uses as much as digits as its factorization.

13231321203231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5868361 (or 5868318 counting only the distinct ones).

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

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

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

The spelling of 13231321203231 in words is "thirteen trillion, two hundred thirty-one billion, three hundred twenty-one million, two hundred three thousand, two hundred thirty-one".

Divisors: 1 3 9 27 37 61 111 183 333 549 999 1369 1647 2257 4107 6771 12321 20313 36963 60939 83509 250527 751581 2254743 5868217 17604651 52813953 158441859 217124029 357961237 651372087 1073883711 1954116261 3221651133 5862348783 8033589073 9664953399 13244565769 24100767219 39733697307 72302301657 119201091921 216906904971 357603275763 490048933453 1470146800359 4410440401077 13231321203231