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130213241130 = 23574314996779
BaseRepresentation
bin111100101000101010…
…0000110000100101010
3110110002210012000110110
41321101110012010222
54113134042204010
6135452533355150
712256543200420
oct1712124060452
9413083160413
10130213241130
115024aa86375
12212a0198ab6
13c382116a0b
146433937110
1535c1936120
hex1e5150612a

130213241130 has 128 divisors (see below), whose sum is σ = 367918848000. Its totient is φ = 28875458304.

The previous prime is 130213241129. The next prime is 130213241143. The reversal of 130213241130 is 31142312031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 130213241097 and 130213241106.

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, 1297081 + ... + 1393859.

It is an arithmetic number, because the mean of its divisors is an integer number (2874366000).

Almost surely, 2130213241130 is an apocalyptic number.

130213241130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130213241130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183959424000).

130213241130 is an abundant number, since it is smaller than the sum of its proper divisors (237705606870).

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

130213241130 is a wasteful number, since it uses less digits than its factorization.

130213241130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96988.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 130213241130 its reverse (31142312031), we get a palindrome (161355553161).

The spelling of 130213241130 in words is "one hundred thirty billion, two hundred thirteen million, two hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 149 210 215 258 298 301 430 447 602 645 745 894 903 1043 1290 1490 1505 1806 2086 2235 3010 3129 4470 4515 5215 6258 6407 9030 10430 12814 15645 19221 31290 32035 38442 44849 64070 89698 96105 96779 134547 192210 193558 224245 269094 290337 448490 483895 580674 672735 677453 967790 1345470 1354906 1451685 2032359 2903370 3387265 4064718 4161497 6774530 8322994 10161795 12484491 14420071 20323590 20807485 24968982 28840142 29130479 41614970 43260213 58260958 62422455 72100355 86520426 87391437 100940497 124844910 144200710 145652395 174782874 201880994 216301065 291304790 302821491 432602130 436957185 504702485 605642982 620063053 873914370 1009404970 1240126106 1514107455 1860189159 3028214910 3100315265 3720378318 4340441371 6200630530 8680882742 9300945795 13021324113 18601891590 21702206855 26042648226 43404413710 65106620565 130213241130