Search a number
-
+
130424040300 = 223522997115439
BaseRepresentation
bin111100101110111100…
…0001110101101101100
3110110122110211201120010
41321131320032231230
54114102023242200
6135525503453220
712265013023311
oct1713570165554
9413573751503
10130424040300
1150348a74964
122133a8b7210
13c3b69b2558
14645392ad08
1535d51c5150
hex1e5de0eb6c

130424040300 has 144 divisors (see below), whose sum is σ = 390799987200. Its totient is φ = 33543686400.

The previous prime is 130424040251. The next prime is 130424040343. The reversal of 130424040300 is 3040424031.

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, 8439981 + ... + 8455419.

It is an arithmetic number, because the mean of its divisors is an integer number (2713888800).

Almost surely, 2130424040300 is an apocalyptic number.

130424040300 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 130424040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195399993600).

130424040300 is an abundant number, since it is smaller than the sum of its proper divisors (260375946900).

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

130424040300 is a wasteful number, since it uses less digits than its factorization.

130424040300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16456 (or 16449 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 130424040300 its reverse (3040424031), we get a palindrome (133464464331).

The spelling of 130424040300 in words is "one hundred thirty billion, four hundred twenty-four million, forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 971 1450 1740 1942 2175 2900 2913 3884 4350 4855 5826 8700 9710 11652 14565 15439 19420 24275 28159 29130 30878 46317 48550 56318 58260 61756 72825 77195 84477 92634 97100 112636 140795 145650 154390 168954 185268 231585 281590 291300 308780 337908 385975 422385 447731 463170 563180 703975 771950 844770 895462 926340 1157925 1343193 1407950 1543900 1689540 1790924 2111925 2238655 2315850 2686386 2815900 4223850 4477310 4631700 5372772 6715965 8447700 8954620 11193275 13431930 14991269 22386550 26863860 29982538 33579825 44773100 44973807 59965076 67159650 74956345 89947614 134319300 149912690 179895228 224869035 299825380 374781725 434746801 449738070 749563450 869493602 899476140 1124345175 1304240403 1499126900 1738987204 2173734005 2248690350 2608480806 4347468010 4497380700 5216961612 6521202015 8694936020 10868670025 13042404030 21737340050 26084808060 32606010075 43474680100 65212020150 130424040300