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120221230300 = 225253107239887
BaseRepresentation
bin110111111110110111…
…1100110010011011100
3102111022102110021102021
41233331233212103130
53432203113332200
6131121234105524
711454123411463
oct1577557462334
9374272407367
10120221230300
1146a92828786
121b371a1b2a4
13b44bc95a82
145b668939da
1531d960541a
hex1bfdbe64dc

120221230300 has 144 divisors (see below), whose sum is σ = 269712737280. Its totient is φ = 46492176640.

The previous prime is 120221230219. The next prime is 120221230313. The reversal of 120221230300 is 3032122021.

It is a congruent number.

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, 135536457 + ... + 135537343.

It is an arithmetic number, because the mean of its divisors is an integer number (1873005120).

Almost surely, 2120221230300 is an apocalyptic number.

120221230300 is a gapful number since it is divisible by the number (10) 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 120221230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134856368640).

120221230300 is an abundant number, since it is smaller than the sum of its proper divisors (149491506980).

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

120221230300 is a wasteful number, since it uses less digits than its factorization.

120221230300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 120221230300 its reverse (3032122021), we get a palindrome (123253352321).

The spelling of 120221230300 in words is "one hundred twenty billion, two hundred twenty-one million, two hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 107 212 214 239 265 428 478 530 535 887 956 1060 1070 1195 1325 1774 2140 2390 2650 2675 3548 4435 4780 5300 5350 5671 5975 8870 10700 11342 11950 12667 17740 22175 22684 23900 25334 25573 28355 44350 47011 50668 51146 56710 63335 88700 94022 94909 102292 113420 126670 127865 141775 188044 189818 211993 235055 253340 255730 283550 316675 379636 423986 470110 474545 511460 567100 633350 639325 847972 940220 949090 1059965 1175275 1266700 1278650 1355369 1898180 2119930 2350550 2372725 2557300 2710738 4239860 4701100 4745450 5030177 5299825 5421476 6776845 9490900 10060354 10599650 11235629 13553690 20120708 21199300 22471258 22683251 25150885 27107380 33884225 44942516 45366502 50301770 56178145 67768450 90733004 100603540 112356290 113416255 125754425 135536900 224712580 226832510 251508850 280890725 453665020 503017700 561781450 567081275 1123562900 1134162550 1202212303 2268325100 2404424606 4808849212 6011061515 12022123030 24044246060 30055307575 60110615150 120221230300