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203212020 = 223511476551
BaseRepresentation
bin11000001110011…
…00010011110100
3112011101020111010
430013030103310
5404010241040
632055312220
75015162604
oct1407142364
9464336433
10203212020
11a4787220
125807b670
13331402cb
141cdbac04
1512c90e80
hexc1cc4f4

203212020 has 96 divisors (see below), whose sum is σ = 634023936. Its totient is φ = 48208000.

The previous prime is 203212013. The next prime is 203212021. The reversal of 203212020 is 20212302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 203211987 and 203212005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203212021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27745 + ... + 34295.

It is an arithmetic number, because the mean of its divisors is an integer number (6604416).

Almost surely, 2203212020 is an apocalyptic number.

203212020 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 203212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317011968).

203212020 is an abundant number, since it is smaller than the sum of its proper divisors (430811916).

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

203212020 is a wasteful number, since it uses less digits than its factorization.

203212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6621 (or 6619 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 203212020 is about 14255.2453503965. The cubic root of 203212020 is about 587.9176037999.

Adding to 203212020 its reverse (20212302), we get a palindrome (223424322).

The spelling of 203212020 in words is "two hundred three million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 940 1034 1410 1551 2068 2585 2820 3102 5170 6204 6551 7755 10340 13102 15510 19653 26204 31020 32755 39306 65510 72061 78612 98265 131020 144122 196530 216183 288244 307897 360305 393060 432366 615794 720610 864732 923691 1080915 1231588 1441220 1539485 1847382 2161830 3078970 3386867 3694764 4323660 4618455 6157940 6773734 9236910 10160601 13547468 16934335 18473820 20321202 33868670 40642404 50803005 67737340 101606010 203212020