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13323132302112 = 2532739121351607
BaseRepresentation
bin1100000111100000100010…
…0100010111001100100000
31202011200022222221020222200
43001320020210113030200
53221241233332131422
644200321255133200
72543364432013053
oct301701044271440
952150288836880
1013323132302112
11427734393aa46
1215b2142074200
1375849b0b9749
14340bb3454a9a
15181872a8b2ac
hexc1e08917320

13323132302112 has 144 divisors (see below), whose sum is σ = 37970938998720. Its totient is φ = 4431292448256.

The previous prime is 13323132302107. The next prime is 13323132302141. The reversal of 13323132302112 is 21120323132331.

13323132302112 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 313 + 230 + 2 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258139413 + ... + 258191019.

It is an arithmetic number, because the mean of its divisors is an integer number (263687076380).

Almost surely, 213323132302112 is an apocalyptic number.

13323132302112 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 13323132302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18985469499360).

13323132302112 is an abundant number, since it is smaller than the sum of its proper divisors (24647806696608).

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

13323132302112 is a wasteful number, since it uses less digits than its factorization.

13323132302112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53575 (or 53564 counting only the distinct ones).

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

Adding to 13323132302112 its reverse (21120323132331), we get a palindrome (34443455434443).

The spelling of 13323132302112 in words is "thirteen trillion, three hundred twenty-three billion, one hundred thirty-two million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 739 1213 1478 2217 2426 2956 3639 4434 4852 5912 6651 7278 8868 9704 10917 11824 13302 14556 17736 19408 21834 23648 26604 29112 35472 38816 43668 51607 53208 58224 70944 87336 103214 106416 116448 154821 174672 206428 212832 309642 349344 412856 464463 619284 825712 896407 928926 1238568 1651424 1792814 1857852 2477136 2689221 3585628 3715704 4954272 5378442 7171256 7431408 8067663 10756884 14342512 14862816 16135326 21513768 28685024 32270652 38137573 43027536 62599291 64541304 76275146 86055072 114412719 125198582 129082608 152550292 187797873 228825438 250397164 258165216 305100584 343238157 375595746 457650876 500794328 563393619 610201168 686476314 751191492 915301752 1001588656 1126787238 1220402336 1372952628 1502382984 1830603504 2003177312 2253574476 2745905256 3004765968 3661207008 4507148952 5491810512 6009531936 9014297904 10983621024 18028595808 46260876049 92521752098 138782628147 185043504196 277565256294 370087008392 416347884441 555130512588 740174016784 832695768882 1110261025176 1480348033568 1665391537764 2220522050352 3330783075528 4441044100704 6661566151056 13323132302112