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231414111300 = 223522374345139
BaseRepresentation
bin1101011110000101011…
…0110001110001000100
3211010022122110212220010
43113201112301301010
512242414003030200
6254150555310220
722501441330221
oct3274126616104
9733278425803
10231414111300
118a162261a59
1238a2414b370
1318a8c663a08
14b2b4272948
1560462ce150
hex35e15b1c44

231414111300 has 144 divisors (see below), whose sum is σ = 699625221120. Its totient is φ = 58946616960.

The previous prime is 231414111293. The next prime is 231414111329. The reversal of 231414111300 is 3111414132.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5104131 + ... + 5149269.

It is an arithmetic number, because the mean of its divisors is an integer number (4858508480).

Almost surely, 2231414111300 is an apocalyptic number.

231414111300 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 231414111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349812610560).

231414111300 is an abundant number, since it is smaller than the sum of its proper divisors (468211109820).

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

231414111300 is a wasteful number, since it uses less digits than its factorization.

231414111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45922 (or 45915 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 231414111300 its reverse (3111414132), we get a palindrome (234525525432).

The spelling of 231414111300 in words is "two hundred thirty-one billion, four hundred fourteen million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 743 1150 1380 1486 1725 2229 2300 2972 3450 3715 4458 6900 7430 8916 11145 14860 17089 18575 22290 34178 37150 44580 45139 51267 55725 68356 74300 85445 90278 102534 111450 135417 170890 180556 205068 222900 225695 256335 270834 341780 427225 451390 512670 541668 677085 854450 902780 1025340 1038197 1128475 1281675 1354170 1708900 2076394 2256950 2563350 2708340 3114591 3385425 4152788 4513900 5126700 5190985 6229182 6770850 10381970 12458364 13541700 15572955 20763940 25954925 31145910 33538277 51909850 62291820 67076554 77864775 100614831 103819700 134153108 155729550 167691385 201229662 311459100 335382770 402459324 503074155 670765540 771380371 838456925 1006148310 1542760742 1676913850 2012296620 2314141113 2515370775 3085521484 3353827700 3856901855 4628282226 5030741550 7713803710 9256564452 10061483100 11570705565 15427607420 19284509275 23141411130 38569018550 46282822260 57853527825 77138037100 115707055650 231414111300