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130345224534 = 232713125730727
BaseRepresentation
bin111100101100100101…
…1100100100101010110
3110110102222112110122200
41321121023210211112
54113421334141114
6135514010305330
712263035061610
oct1713113444526
9413388473580
10130345224534
1150308532468
1221318428246
13c3a35781c5
146447291db0
1535cd307409
hex1e592e4956

130345224534 has 96 divisors (see below), whose sum is σ = 326499503616. Its totient is φ = 36812206080.

The previous prime is 130345224467. The next prime is 130345224557. The reversal of 130345224534 is 435422543031.

130345224534 is a `hidden beast` number, since 1 + 30 + 34 + 522 + 45 + 34 = 666.

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 47 ways as a sum of consecutive naturals, for example, 4226679 + ... + 4257405.

It is an arithmetic number, because the mean of its divisors is an integer number (3401036496).

Almost surely, 2130345224534 is an apocalyptic number.

130345224534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130345224534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163249751808).

130345224534 is an abundant number, since it is smaller than the sum of its proper divisors (196154279082).

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

130345224534 is a wasteful number, since it uses less digits than its factorization.

130345224534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31130 (or 31127 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 130345224534 its reverse (435422543031), we get a palindrome (565767767565).

The spelling of 130345224534 in words is "one hundred thirty billion, three hundred forty-five million, two hundred twenty-four thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 257 262 393 514 771 786 917 1179 1542 1799 1834 2313 2358 2751 3598 4626 5397 5502 8253 10794 16191 16506 30727 32382 33667 61454 67334 92181 101001 184362 202002 215089 235669 276543 303003 430178 471338 553086 606006 645267 707007 1290534 1414014 1935801 2121021 3871602 4025237 4242042 7896839 8050474 12075711 15793678 23690517 24151422 28176659 36227133 47381034 55277873 56353318 71071551 72454266 84529977 110555746 142143102 165833619 169059954 253589931 331667238 497500857 507179862 995001714 1034485909 2068971818 3103457727 6206915454 7241401363 9310373181 14482802726 18620746362 21724204089 43448408178 65172612267 130345224534