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231301331200 = 2852336110753
BaseRepresentation
bin1101011101101010100…
…0100011100100000000
3211010000210021001200101
43113122220203210000
512242201120044300
6254131450132144
722465601606242
oct3273250434400
9733023231611
10231301331200
118a104631665
12389b2421054
1318a72197124
14b2a32b6092
15603b452b6a
hex35daa23900

231301331200 has 108 divisors (see below), whose sum is σ = 572730531268. Its totient is φ = 92484403200.

The previous prime is 231301331147. The next prime is 231301331207. The reversal of 231301331200 is 2133103132.

It can be written as a sum of positive squares in 6 ways, for example, as 15960784896 + 215340546304 = 126336^2 + 464048^2 .

It is not an unprimeable number, because it can be changed into a prime (231301331207) 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, 21505024 + ... + 21515776.

Almost surely, 2231301331200 is an apocalyptic number.

231301331200 is a gapful number since it is divisible by the number (20) 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 231301331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286365265634).

231301331200 is an abundant number, since it is smaller than the sum of its proper divisors (341429200068).

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

231301331200 is a wasteful number, since it uses less digits than its factorization.

231301331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14140 (or 14121 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 231301331200 its reverse (2133103132), we get a palindrome (233434434332).

The spelling of 231301331200 in words is "two hundred thirty-one billion, three hundred one million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 3361 6400 6722 10753 13444 16805 21506 26888 33610 43012 53765 53776 67220 84025 86024 107530 107552 134440 168050 172048 215060 215104 268825 268880 336100 344096 430120 430208 537650 537760 672200 688192 860240 860416 1075300 1075520 1344400 1376384 1720480 2150600 2151040 2688800 2752768 3440960 4301200 4302080 5377600 6881920 8602400 10755200 13763840 17204800 21510400 34409600 36140833 68819200 72281666 144563332 180704165 289126664 361408330 578253328 722816660 903520825 1156506656 1445633320 1807041650 2313013312 2891266640 3614083300 4626026624 5782533280 7228166600 9252053248 11565066560 14456333200 23130133120 28912666400 46260266240 57825332800 115650665600 231301331200