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135303204330 = 235577954333
BaseRepresentation
bin111111000000010110…
…0110000110111101010
3110221020111211221100000
41332000230300313222
54204100110014310
6142054001123430
712526640155320
oct1760054606752
9427214757300
10135303204330
115242214a028
1222280929576
13c9b37b3868
146797935d10
1537bd70d4c0
hex1f80b30dea

135303204330 has 96 divisors (see below), whose sum is σ = 416934370944. Its totient is φ = 30926442816.

The previous prime is 135303204319. The next prime is 135303204343. The reversal of 135303204330 is 33402303531.

It is a happy number.

135303204330 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 0 + 320 + 4 + 330 = 666.

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 = 135303204294 and 135303204303.

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, 3960157 + ... + 3994176.

It is an arithmetic number, because the mean of its divisors is an integer number (4343066364).

Almost surely, 2135303204330 is an apocalyptic number.

135303204330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135303204330 is an abundant number, since it is smaller than the sum of its proper divisors (281631166614).

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

135303204330 is an equidigital number, since it uses as much as digits as its factorization.

135303204330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7954362 (or 7954350 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 135303204330 its reverse (33402303531), we get a palindrome (168705507861).

The spelling of 135303204330 in words is "one hundred thirty-five billion, three hundred three million, two hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 486 567 630 810 945 1134 1215 1701 1890 2430 2835 3402 5670 8505 17010 7954333 15908666 23862999 39771665 47725998 55680331 71588997 79543330 111360662 119314995 143177994 167040993 214766991 238629990 278401655 334081986 357944985 429533982 501122979 556803310 644300973 715889970 835204965 1002245958 1073834955 1288601946 1503368937 1670409930 1932902919 2147669910 2505614895 3006737874 3221504865 3865805838 4510106811 5011229790 6443009730 7516844685 9020213622 9664514595 13530320433 15033689370 19329029190 22550534055 27060640866 45101068110 67651602165 135303204330