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130253034520 = 23574722514397
BaseRepresentation
bin111100101001110101…
…1111001010000011000
3110110012120001201201201
41321103223321100120
54113224234101040
6135500514323544
712260535345220
oct1712353712030
9413176051651
10130253034520
1150270495774
12212b15895b4
13c38a43a4bb
146438d35080
1535c5196a9a
hex1e53af9418

130253034520 has 128 divisors (see below), whose sum is σ = 342292469760. Its totient is φ = 43678656000.

The previous prime is 130253034503. The next prime is 130253034529. The reversal of 130253034520 is 25430352031.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130253034529) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29620962 + ... + 29625358.

It is an arithmetic number, because the mean of its divisors is an integer number (2674159920).

Almost surely, 2130253034520 is an apocalyptic number.

130253034520 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 130253034520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171146234880).

130253034520 is an abundant number, since it is smaller than the sum of its proper divisors (212039435240).

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

130253034520 is a wasteful number, since it uses less digits than its factorization.

130253034520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6713 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 130253034520 its reverse (25430352031), we get a palindrome (155683386551).

The spelling of 130253034520 in words is "one hundred thirty billion, two hundred fifty-three million, thirty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2251 2632 3290 4397 4502 6580 8794 9004 11255 13160 15757 17588 18008 21985 22510 30779 31514 35176 43970 45020 61558 63028 78785 87940 90040 105797 123116 126056 153895 157570 175880 206659 211594 246232 307790 315140 413318 423188 528985 615580 630280 740579 826636 846376 1033295 1057970 1231160 1446613 1481158 1653272 2066590 2115940 2893226 2962316 3702895 4133180 4231880 5786452 5924632 7233065 7405790 8266360 9897647 11572904 14466130 14811580 19795294 28932260 29623160 39590588 49488235 57864520 69283529 79181176 98976470 138567058 197952940 277134116 346417645 395905880 465189409 554268232 692835290 930378818 1385670580 1860757636 2325947045 2771341160 3256325863 3721515272 4651894090 6512651726 9303788180 13025303452 16281629315 18607576360 26050606904 32563258630 65126517260 130253034520