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13221403555212 = 2233435153552491
BaseRepresentation
bin1100000001100101100100…
…0011111111010110001100
31201210221202100100110211000
43000121121003333112030
53213104413302231322
644041455015100300
72533133463643116
oct300313103772614
951727670313730
1013221403555212
1142381906977a6
121596491371690
1374ba083a6c58
14339cc29883b6
1517ddbbbc03ac
hexc06590ff58c

13221403555212 has 96 divisors (see below), whose sum is σ = 35081739221760. Its totient is φ = 4303799861760.

The previous prime is 13221403555153. The next prime is 13221403555219. The reversal of 13221403555212 is 21255530412231.

13221403555212 is a `hidden beast` number, since 1 + 3 + 2 + 21 + 40 + 35 + 552 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13221403555219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23654287 + ... + 24206777.

It is an arithmetic number, because the mean of its divisors is an integer number (365434783560).

Almost surely, 213221403555212 is an apocalyptic number.

13221403555212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221403555212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17540869610880).

13221403555212 is an abundant number, since it is smaller than the sum of its proper divisors (21860335666548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13221403555212 is a wasteful number, since it uses less digits than its factorization.

13221403555212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557700 (or 557692 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 13221403555212 its reverse (21255530412231), we get a palindrome (34476933967443).

The spelling of 13221403555212 in words is "thirteen trillion, two hundred twenty-one billion, four hundred three million, five hundred fifty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 5153 10306 15459 20612 30918 46377 61836 92754 139131 185508 221579 278262 443158 552491 556524 664737 886316 1104982 1329474 1657473 1994211 2209964 2658948 3314946 3988422 4972419 5982633 6629892 7976844 9944838 11965266 14917257 19889676 23757113 23930532 29834514 47514226 59669028 71271339 95028452 142542678 213814017 285085356 427628034 641442051 855256068 1282884102 2565768204 2846986123 5693972246 8540958369 11387944492 17081916738 25622875107 34163833476 51245750214 76868625321 102491500428 122420403289 153737250642 244840806578 307474501284 367261209867 489681613156 734522419734 1101783629601 1469044839468 2203567259202 3305350888803 4407134518404 6610701777606 13221403555212