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231301420300 = 225217832237351
BaseRepresentation
bin1101011101101010100…
…0111001010100001100
3211010000210102120220101
43113122220321110030
512242201130422200
6254131452100444
722465602430066
oct3273250712414
9733023376811
10231301420300
118a1046925a5
12389b2464724
1318a721c8852
14b2a32da736
15603b46e26a
hex35daa3950c

231301420300 has 144 divisors (see below), whose sum is σ = 540337416192. Its totient is φ = 85631616000.

The previous prime is 231301420291. The next prime is 231301420321. The reversal of 231301420300 is 3024103132.

231301420300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31461625 + ... + 31468975.

It is an arithmetic number, because the mean of its divisors is an integer number (3752343168).

Almost surely, 2231301420300 is an apocalyptic number.

231301420300 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 231301420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270168708096).

231301420300 is an abundant number, since it is smaller than the sum of its proper divisors (309035995892).

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

231301420300 is a wasteful number, since it uses less digits than its factorization.

231301420300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7688 (or 7681 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 231301420300 its reverse (3024103132), we get a palindrome (234325523432).

The spelling of 231301420300 in words is "two hundred thirty-one billion, three hundred one million, four hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 83 85 100 166 170 223 332 340 415 425 446 830 850 892 1115 1411 1660 1700 2075 2230 2822 3791 4150 4460 5575 5644 7055 7351 7582 8300 11150 14110 14702 15164 18509 18955 22300 28220 29404 35275 36755 37018 37910 70550 73510 74036 75820 92545 94775 124967 141100 147020 183775 185090 189550 249934 314653 367550 370180 379100 462725 499868 610133 624835 629306 735100 925450 1220266 1249670 1258612 1573265 1639273 1850900 2440532 2499340 3050665 3124175 3146530 3278546 6101330 6248350 6293060 6557092 7866325 8196365 10372261 12202660 12496700 15253325 15732650 16392730 20744522 27867641 30506650 31465300 32785460 40981825 41489044 51861305 55735282 61013300 81963650 103722610 111470564 136059659 139338205 163927300 207445220 259306525 272119318 278676410 518613050 544238636 557352820 680298295 696691025 1037226100 1360596590 1393382050 2313014203 2721193180 2786764100 3401491475 4626028406 6802982950 9252056812 11565071015 13605965900 23130142030 46260284060 57825355075 115650710150 231301420300