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524252003130 = 232571227361421
BaseRepresentation
bin1111010000011111101…
…10101011101100111010
31212010012000122010020200
413220033312223230322
532042132003100010
61040501003503030
752606311334002
oct7501766535472
91763160563220
10524252003130
11192374652399
128572ab27a76
133a58a70b49b
141b5340db002
15d984d01cc0
hex7a0fdabb3a

524252003130 has 96 divisors (see below), whose sum is σ = 1388346231168. Its totient is φ = 137223945600.

The previous prime is 524252003123. The next prime is 524252003147. The reversal of 524252003130 is 31300252425.

It is a happy number.

524252003130 is a `hidden beast` number, since 5 + 2 + 4 + 2 + 520 + 0 + 3 + 130 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 524252003094 and 524252003103.

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, 1269820 + ... + 1631240.

It is an arithmetic number, because the mean of its divisors is an integer number (14461939908).

Almost surely, 2524252003130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 524252003130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694173115584).

524252003130 is an abundant number, since it is smaller than the sum of its proper divisors (864094228038).

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

524252003130 is a wasteful number, since it uses less digits than its factorization.

524252003130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361732 (or 361729 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 524252003130 its reverse (31300252425), we get a palindrome (555552255555).

The spelling of 524252003130 in words is "five hundred twenty-four billion, two hundred fifty-two million, three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 227 355 426 454 639 681 710 1065 1135 1278 1362 2043 2130 2270 3195 3405 4086 6390 6810 10215 16117 20430 32234 48351 80585 96702 145053 161170 241755 290106 361421 483510 722842 725265 1084263 1450530 1807105 2168526 3252789 3614210 5421315 6505578 10842630 16263945 25660891 32527890 51321782 76982673 82042567 128304455 153965346 164085134 230948019 246127701 256608910 384913365 410212835 461896038 492255402 738383103 769826730 820425670 1154740095 1230638505 1476766206 2309480190 2461277010 3691915515 5825022257 7383831030 11650044514 17475066771 29125111285 34950133542 52425200313 58250222570 87375333855 104850400626 174750667710 262126001565 524252003130