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1241131442130 = 233517436288349
BaseRepresentation
bin10010000011111001001…
…100101101111111010010
311101122120120202212022000
4102003321030231333102
5130313314122122010
62350100134054430
7155445252122646
oct22037114557722
94348516685260
101241131442130
114393a7385378
121806584aa416
1390065ba9448
14440dd09ac26
1522440bb97c0
hex120f932dfd2

1241131442130 has 128 divisors (see below), whose sum is σ = 3585868704000. Its totient is φ = 304255429632.

The previous prime is 1241131442129. The next prime is 1241131442189. The reversal of 1241131442130 is 312441311421.

It is a happy number.

1241131442130 is a `hidden beast` number, since 1 + 2 + 411 + 31 + 4 + 4 + 213 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1241131442094 and 1241131442103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2946805 + ... + 3341544.

It is an arithmetic number, because the mean of its divisors is an integer number (28014599250).

Almost surely, 21241131442130 is an apocalyptic number.

1241131442130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1241131442130 is an abundant number, since it is smaller than the sum of its proper divisors (2344737261870).

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

1241131442130 is a wasteful number, since it uses less digits than its factorization.

1241131442130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6288425 (or 6288419 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1241131442130 its reverse (312441311421), we get a palindrome (1553572753551).

The spelling of 1241131442130 in words is "one trillion, two hundred forty-one billion, one hundred thirty-one million, four hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 43 45 51 54 85 86 90 102 129 135 153 170 215 255 258 270 306 387 430 459 510 645 731 765 774 918 1161 1290 1462 1530 1935 2193 2295 2322 3655 3870 4386 4590 5805 6579 7310 10965 11610 13158 19737 21930 32895 39474 65790 98685 197370 6288349 12576698 18865047 31441745 37730094 56595141 62883490 94325235 106901933 113190282 169785423 188650470 213803866 270399007 282975705 320705799 339570846 534509665 540798014 565951410 641411598 811197021 848927115 962117397 1069019330 1351995035 1603528995 1622394042 1697854230 1924234794 2433591063 2703990070 2886352191 3207057990 4055985105 4596783119 4810586985 4867182126 5772704382 7300773189 8111970210 9193566238 9621173970 12167955315 13790349357 14431760955 14601546378 22983915595 24335910630 27580698714 28863521910 36503865945 41371048071 45967831190 68951746785 73007731890 82742096142 124113144213 137903493570 206855240355 248226288426 413710480710 620565721065 1241131442130