Search a number
-
+
203301020 = 225132959457
BaseRepresentation
bin11000001111000…
…10000010011100
3112011112202120102
430013202002130
5404021113040
632101240232
75016013226
oct1407420234
9464482512
10203301020
11a483807a
1258103078
1333171980
141d001416
1512cac515
hexc1e209c

203301020 has 96 divisors (see below), whose sum is σ = 484747200. Its totient is φ = 71092224.

The previous prime is 203301019. The next prime is 203301041. The reversal of 203301020 is 20103302.

It is a junction number, because it is equal to n+sod(n) for n = 203300992 and 203301010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444632 + ... + 445088.

It is an arithmetic number, because the mean of its divisors is an integer number (5049450).

Almost surely, 2203301020 is an apocalyptic number.

203301020 is a gapful number since it is divisible by the number (20) 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 203301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242373600).

203301020 is an abundant number, since it is smaller than the sum of its proper divisors (281446180).

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

203301020 is a wasteful number, since it uses less digits than its factorization.

203301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 203301020 is about 14258.3666666277. The cubic root of 203301020 is about 588.0034206227.

Adding to 203301020 its reverse (20103302), we get a palindrome (223404322).

The spelling of 203301020 in words is "two hundred three million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 59 65 116 118 130 145 236 260 290 295 377 457 580 590 754 767 914 1180 1508 1534 1711 1828 1885 2285 3068 3422 3770 3835 4570 5941 6844 7540 7670 8555 9140 11882 13253 15340 17110 22243 23764 26506 26963 29705 34220 44486 53012 53926 59410 66265 88972 107852 111215 118820 132530 134815 172289 222430 265060 269630 344578 350519 444860 539260 689156 701038 781927 861445 1402076 1563854 1722890 1752595 3127708 3445780 3505190 3909635 7010380 7819270 10165051 15638540 20330102 40660204 50825255 101650510 203301020