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135221020 = 225115311597
BaseRepresentation
bin10000000111101…
…00111100011100
3100102102221100221
420003310330130
5234104033040
621230131124
73231234244
oct1003647434
9312387327
10135221020
116a368610
1239350aa4
132202604c
1413d5cb24
15bd1074a
hex80f4f1c

135221020 has 48 divisors (see below), whose sum is σ = 315651168. Its totient is φ = 48239360.

The previous prime is 135220973. The next prime is 135221033. The reversal of 135221020 is 20122531.

135221020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 135220985 and 135221003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5862 + ... + 17458.

It is an arithmetic number, because the mean of its divisors is an integer number (6576066).

Almost surely, 2135221020 is an apocalyptic number.

135221020 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 135221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157825584).

135221020 is an abundant number, since it is smaller than the sum of its proper divisors (180430148).

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

135221020 is a wasteful number, since it uses less digits than its factorization.

135221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11670 (or 11668 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 135221020 is about 11628.4573353476. The cubic root of 135221020 is about 513.2725860913.

Adding to 135221020 its reverse (20122531), we get a palindrome (155343551).

The spelling of 135221020 in words is "one hundred thirty-five million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 11597 11660 23194 46388 57985 115970 127567 231940 255134 510268 614641 637835 1229282 1275670 2458564 2551340 3073205 6146410 6761051 12292820 13522102 27044204 33805255 67610510 135221020