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13230432243132 = 223132325491446611
BaseRepresentation
bin1100000010000111001100…
…1101101100110110111100
31201211211001120102100020220
43000201303031230312330
53213231411123240012
644045550543141340
72533603305346326
oct300416315546674
951754046370226
1013230432243132
114240aa40a2655
121598190ba4850
1374c816a8cc40
1433a4dbb0a616
1517e24966708c
hexc087336cdbc

13230432243132 has 96 divisors (see below), whose sum is σ = 34704800524800. Its totient is φ = 3892376167680.

The previous prime is 13230432243121. The next prime is 13230432243151. The reversal of 13230432243132 is 23134223403231.

13230432243132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132304322431322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13230432243093 and 13230432243102.

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, 8422507 + ... + 9869117.

It is an arithmetic number, because the mean of its divisors is an integer number (361508338800).

Almost surely, 213230432243132 is an apocalyptic number.

13230432243132 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 13230432243132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17352400262400).

13230432243132 is an abundant number, since it is smaller than the sum of its proper divisors (21474368281668).

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

13230432243132 is a wasteful number, since it uses less digits than its factorization.

13230432243132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449203 (or 1449201 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 13230432243132 its reverse (23134223403231), we get a palindrome (36364655646363).

The spelling of 13230432243132 in words is "thirteen trillion, two hundred thirty billion, four hundred thirty-two million, two hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 2549 3588 5098 7647 10196 15294 30588 33137 58627 66274 99411 117254 132548 175881 198822 234508 351762 397644 703524 762151 1446611 1524302 2286453 2893222 3048604 4339833 4572906 5786444 8679666 9145812 17359332 18805943 33272053 37611886 56417829 66544106 75223772 99816159 112835658 133088212 199632318 225671316 399264636 432536689 865073378 1297610067 1730146756 2595220134 3687411439 5190440268 7374822878 11062234317 14749645756 22124468634 44248937268 47936348707 84810463097 95872697414 143809046121 169620926194 191745394828 254431389291 287618092242 339241852388 508862778582 575236184484 1017725557164 1102536020261 2205072040522 3307608060783 4410144081044 6615216121566 13230432243132