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13221233021331 = 3210776183921503
BaseRepresentation
bin1100000001100100111011…
…1001011101000110010011
31201210221022110110110022100
43000121032321131012103
53213104041123140311
644041430044011443
72533126323301566
oct300311671350623
951727273413270
1013221233021331
114238103400105
121596444230b83
1374b9abc6892a
14339ca80764dd
1517ddabc36a56
hexc064ee5d193

13221233021331 has 48 divisors (see below), whose sum is σ = 19325049569280. Its totient is φ = 8709507231360.

The previous prime is 13221233021323. The next prime is 13221233021357. The reversal of 13221233021331 is 13312033212231.

13221233021331 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 23 + 302 + 1 + 331 = 666.

It is not a de Polignac number, because 13221233021331 - 23 = 13221233021323 is a prime.

It is a super-2 number, since 2×132212330213312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13221233021295 and 13221233021304.

It is not an unprimeable number, because it can be changed into a prime (13221233021371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614844526 + ... + 614866028.

It is an arithmetic number, because the mean of its divisors is an integer number (402605199360).

Almost surely, 213221233021331 is an apocalyptic number.

13221233021331 is a deficient number, since it is larger than the sum of its proper divisors (6103816547949).

13221233021331 is a wasteful number, since it uses less digits than its factorization.

13221233021331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23216 (or 23213 counting only the distinct ones).

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

Adding to 13221233021331 its reverse (13312033212231), we get a palindrome (26533266233562).

The spelling of 13221233021331 in words is "thirteen trillion, two hundred twenty-one billion, two hundred thirty-three million, twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 107 321 761 839 963 2283 2517 6849 7551 21503 64509 81427 89773 193527 244281 269319 638479 732843 807957 1915437 2300821 5746311 6902463 16363783 18041017 20707389 49091349 54123051 68317253 147274047 162369153 204951759 614855277 1750924781 1930388819 5252774343 5791166457 13729213937 15758323029 17373499371 41187641811 123562925433 1469025891259 4407077673777 13221233021331