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13222132021332 = 223213163643269561
BaseRepresentation
bin1100000001101000010001…
…1110110111100001010100
31201211000122010002101110200
43000122010132313201110
53213112411244140312
644042055200420500
72533160520544053
oct300320436674124
951730563071420
1013222132021332
11423852490a113
121596655317730
1374bac32a20b0
14339d5161239a
1517de10b170dc
hexc06847b7854

13222132021332 has 144 divisors (see below), whose sum is σ = 36270856684608. Its totient is φ = 4037085826560.

The previous prime is 13222132021313. The next prime is 13222132021339. The reversal of 13222132021332 is 23312023122231.

13222132021332 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 1 + 320 + 2 + 1 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13222132021296 and 13222132021305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222132021339) 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, 48915832 + ... + 49185392.

Almost surely, 213222132021332 is an apocalyptic number.

13222132021332 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 13222132021332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18135428342304).

13222132021332 is an abundant number, since it is smaller than the sum of its proper divisors (23048724663276).

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

13222132021332 is a wasteful number, since it uses less digits than its factorization.

13222132021332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270390 (or 270385 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13222132021332 its reverse (23312023122231), we get a palindrome (36534155143563).

The spelling of 13222132021332 in words is "thirteen trillion, two hundred twenty-two billion, one hundred thirty-two million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 163 234 326 468 489 643 652 978 1286 1467 1929 1956 2119 2572 2934 3858 4238 5787 5868 6357 7716 8359 8476 11574 12714 16718 19071 23148 25077 25428 33436 38142 50154 75231 76284 100308 104809 150462 209618 269561 300924 314427 419236 539122 628854 808683 943281 1078244 1257708 1362517 1617366 1886562 2426049 2725034 3234732 3504293 3773124 4087551 4852098 5450068 7008586 8175102 9704196 10512879 12262653 14017172 16350204 21025758 24525306 31538637 42051516 43938443 49050612 63077274 87876886 126154548 131815329 173327723 175753772 263630658 346655446 395445987 519983169 527261316 571199759 693310892 790891974 1039966338 1142399518 1559949507 1581783948 1713599277 2079932676 2253260399 2284799036 3119899014 3427198554 4506520798 5140797831 6239798028 6759781197 6854397108 9013041596 10281595662 13519562394 20279343591 20563191324 27039124788 28252418849 40558687182 56504837698 81117374364 84757256547 113009675396 169514513094 254271769641 339029026188 367281445037 508543539282 734562890074 1017087078564 1101844335111 1469125780148 2203688670222 3305533005333 4407377340444 6611066010666 13222132021332