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130521253230 = 23352923817001
BaseRepresentation
bin111100110001110101…
…1000100010101101110
3110110220020202122122000
41321203223010111232
54114301420100410
6135543255233130
712300303230034
oct1714353042556
9413806678560
10130521253230
1150398932425
12213673787a6
13c400b8b5b4
1464627d4554
1535dd9c8dc0
hex1e63ac456e

130521253230 has 128 divisors (see below), whose sum is σ = 360261302400. Its totient is φ = 33586560000.

The previous prime is 130521253211. The next prime is 130521253253. The reversal of 130521253230 is 32352125031.

It is a happy number.

130521253230 is a `hidden beast` number, since 1 + 305 + 2 + 125 + 3 + 230 = 666.

It is a super-3 number, since 3×1305212532303 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130521253194 and 130521253203.

It is a congruent number.

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, 18639730 + ... + 18646730.

It is an arithmetic number, because the mean of its divisors is an integer number (2814541425).

Almost surely, 2130521253230 is an apocalyptic number.

130521253230 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 130521253230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180130651200).

130521253230 is an abundant number, since it is smaller than the sum of its proper divisors (229740049170).

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

130521253230 is a wasteful number, since it uses less digits than its factorization.

130521253230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9427 (or 9421 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 130521253230 its reverse (32352125031), we get a palindrome (162873378261).

The spelling of 130521253230 in words is "one hundred thirty billion, five hundred twenty-one million, two hundred fifty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2381 2610 3915 4762 7001 7143 7830 11905 14002 14286 21003 21429 23810 35005 35715 42006 42858 63009 64287 69049 70010 71430 105015 107145 126018 128574 138098 189027 203029 207147 210030 214290 315045 321435 345245 378054 406058 414294 609087 621441 630090 642870 690490 945135 1015145 1035735 1218174 1242882 1827261 1864323 1890270 2030290 2071470 3045435 3107205 3654522 3728646 5481783 6090870 6214410 9136305 9321615 10963566 16669381 18272610 18643230 27408915 33338762 50008143 54817830 83346905 100016286 150024429 166693810 250040715 300048858 450073287 483412049 500081430 750122145 900146574 966824098 1450236147 1500244290 2250366435 2417060245 2900472294 4350708441 4500732870 4834120490 7251180735 8701416882 13052125323 14502361470 21753542205 26104250646 43507084410 65260626615 130521253230