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231330143232 = 2103243275801
BaseRepresentation
bin1101011101110001011…
…0011101110000000000
3211010002210110212100200
43113130112131300000
512242231004040412
6254134355445200
722466401526316
oct3273426356000
9733083425320
10231330143232
118a119920561
12389bbbb6800
1318a78144476
14b2a70560b6
15603dc449dc
hex35dc59dc00

231330143232 has 132 divisors (see below), whose sum is σ = 668230311216. Its totient is φ = 77078937600.

The previous prime is 231330143179. The next prime is 231330143237. The reversal of 231330143232 is 232341033132.

231330143232 is a `hidden beast` number, since 2 + 3 + 1 + 330 + 1 + 4 + 323 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 231330143196 and 231330143205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231330143237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39874732 + ... + 39880532.

Almost surely, 2231330143232 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 231330143232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334115155608).

231330143232 is an abundant number, since it is smaller than the sum of its proper divisors (436900167984).

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

231330143232 is a wasteful number, since it uses less digits than its factorization.

231330143232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10154 (or 10133 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 231330143232 its reverse (232341033132), we get a palindrome (463671176364).

The spelling of 231330143232 in words is "two hundred thirty-one billion, three hundred thirty million, one hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4327 4608 5801 8654 9216 11602 12981 17308 17403 23204 25962 34616 34806 38943 46408 51924 52209 69232 69612 77886 92816 103848 104418 138464 139224 155772 185632 207696 208836 276928 278448 311544 371264 415392 417672 553856 556896 623088 742528 830784 835344 1107712 1113792 1246176 1485056 1661568 1670688 2215424 2227584 2492352 2970112 3323136 3341376 4430848 4455168 4984704 5940224 6646272 6682752 8910336 9969408 13292544 13365504 17820672 19938816 25100927 26731008 39877632 50201854 53462016 75302781 100403708 150605562 200807416 225908343 301211124 401614832 451816686 602422248 803229664 903633372 1204844496 1606459328 1807266744 2409688992 3212918656 3614533488 4819377984 6425837312 7229066976 9638755968 12851674624 14458133952 19277511936 25703349248 28916267904 38555023872 57832535808 77110047744 115665071616 231330143232