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135352130060 = 225723210391759
BaseRepresentation
bin111111000001110011…
…1011001101000001100
3110221100220220121211002
41332003213121220030
54204200121130220
6142102505515432
712531103060040
oct1760347315014
9427326817732
10135352130060
1152447826714
12222951a2b78
13c9c0983cb4
1467a0230020
1537c2b74c75
hex1f839d9a0c

135352130060 has 144 divisors (see below), whose sum is σ = 340102963200. Its totient is φ = 44320839552.

The previous prime is 135352130021. The next prime is 135352130101. The reversal of 135352130060 is 60031253531.

It is a super-2 number, since 2×1353521300602 (a number of 23 digits) contains 22 as substring.

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, 76947461 + ... + 76949219.

Almost surely, 2135352130060 is an apocalyptic number.

135352130060 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 135352130060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170051481600).

135352130060 is an abundant number, since it is smaller than the sum of its proper divisors (204750833140).

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

135352130060 is a wasteful number, since it uses less digits than its factorization.

135352130060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

Adding to 135352130060 its reverse (60031253531), we get a palindrome (195383383591).

The spelling of 135352130060 in words is "one hundred thirty-five billion, three hundred fifty-two million, one hundred thirty thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 529 644 805 1039 1058 1610 1759 2078 2116 2645 3220 3518 3703 4156 5195 5290 7036 7273 7406 8795 10390 10580 12313 14546 14812 17590 18515 20780 23897 24626 29092 35180 36365 37030 40457 47794 49252 61565 72730 74060 80914 95588 119485 123130 145460 161828 167279 202285 238970 246260 283199 334558 404570 477940 549631 566398 669116 809140 836395 930511 1099262 1132796 1415995 1672790 1827601 1861022 2198524 2748155 2831990 3345580 3655202 3722044 3847417 4652555 5496310 5663980 6513577 7310404 7694834 9138005 9305110 10992620 12793207 13027154 15389668 18276010 18610220 19237085 25586414 26054308 32567885 36552020 38474170 42034823 51172828 63966035 65135770 76948340 84069646 127932070 130271540 168139292 210174115 255864140 294243761 420348230 588487522 840696460 966800929 1176975044 1471218805 1933601858 2942437610 3867203716 4834004645 5884875220 6767606503 9668009290 13535213006 19336018580 27070426012 33838032515 67676065030 135352130060