Search a number
-
+
130444113030 = 23571159957107
BaseRepresentation
bin111100101111100010…
…0110011010010000110
3110110200212121112011120
41321133010303102012
54114122143104110
6135531502014410
712265345444350
oct1713704632206
9413625545146
10130444113030
11503593348a0
1221345577406
13c3babbcaca
1464564740d0
1535d6d3c870
hex1e5f133486

130444113030 has 128 divisors (see below), whose sum is σ = 396931829760. Its totient is φ = 26645831040.

The previous prime is 130444112993. The next prime is 130444113047. The reversal of 130444113030 is 30311444031.

It is a Curzon number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 342264 + ... + 614843.

It is an arithmetic number, because the mean of its divisors is an integer number (3101029920).

Almost surely, 2130444113030 is an apocalyptic number.

130444113030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130444113030 is an abundant number, since it is smaller than the sum of its proper divisors (266487716730).

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

130444113030 is a wasteful number, since it uses less digits than its factorization.

130444113030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957194.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 130444113030 its reverse (30311444031), we get a palindrome (160755557061).

The spelling of 130444113030 in words is "one hundred thirty billion, four hundred forty-four million, one hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 59 66 70 77 105 110 118 154 165 177 210 231 295 330 354 385 413 462 590 649 770 826 885 1155 1239 1298 1770 1947 2065 2310 2478 3245 3894 4130 4543 6195 6490 9086 9735 12390 13629 19470 22715 27258 45430 68145 136290 957107 1914214 2871321 4785535 5742642 6699749 9571070 10528177 13399498 14356605 20099247 21056354 28713210 31584531 33498745 40198494 52640885 56469313 63169062 66997490 73697239 100496235 105281770 112938626 147394478 157922655 169407939 200992470 221091717 282346565 315845310 338815878 368486195 395285191 442183434 564693130 621162443 736972390 790570382 847039695 1105458585 1185855573 1242324886 1694079390 1863487329 1976425955 2210917170 2371711146 3105812215 3726974658 3952851910 4348137101 5929277865 6211624430 8696274202 9317436645 11858555730 13044411303 18634873290 21740685505 26088822606 43481371010 65222056515 130444113030