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13222021330232 = 231113293831040579
BaseRepresentation
bin1100000001100111110111…
…1000100111010100111000
31201211000100101210200211022
43000121331320213110320
53213112144430031412
644042040204122012
72533155004643351
oct300317570472470
951730311720738
1013222021330232
114238478386270
121596624236308
1374baa63872c0
14339d40a3ad28
1517de0604ea72
hexc067de27538

13222021330232 has 128 divisors (see below), whose sum is σ = 30208453632000. Its totient is φ = 5342410698240.

The previous prime is 13222021330211. The next prime is 13222021330249. The reversal of 13222021330232 is 23203312022231.

13222021330232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12186119 + ... + 13226697.

It is an arithmetic number, because the mean of its divisors is an integer number (236003544000).

Almost surely, 213222021330232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13222021330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104226816000).

13222021330232 is an abundant number, since it is smaller than the sum of its proper divisors (16986432301768).

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

13222021330232 is a wasteful number, since it uses less digits than its factorization.

13222021330232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041021 (or 1041017 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 13222021330232 its reverse (23203312022231), we get a palindrome (36425333352463).

The spelling of 13222021330232 in words is "thirteen trillion, two hundred twenty-two billion, twenty-one million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 29 44 52 58 88 104 116 143 232 286 319 377 383 572 638 754 766 1144 1276 1508 1532 2552 3016 3064 4147 4213 4979 8294 8426 9958 11107 16588 16852 19916 22214 33176 33704 39832 44428 54769 88856 109538 122177 144391 219076 244354 288782 438152 488708 577564 977416 1040579 1155128 1588301 2081158 3176602 4162316 6353204 8324632 11446369 12706408 13527527 22892738 27055054 30176791 45785476 54110108 60353582 91570952 108220216 120707164 148802797 241414328 297605594 331944701 392298283 398541757 595211188 663889402 784596566 797083514 1190422376 1327778804 1569193132 1594167028 2655557608 3138386264 3188334056 4315281113 4383959327 5181042841 8630562226 8767918654 10362085682 11557710953 17261124452 17535837308 20724171364 23115421906 34522248904 35071674616 41448342728 46230843812 56991471251 92461687624 113982942502 127134820483 150250242389 227965885004 254269640966 300500484778 455931770008 508539281932 601000969556 1017078563864 1202001939112 1652752666279 3305505332558 6611010665116 13222021330232