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203203132220 = 2251121115432837
BaseRepresentation
bin1011110100111111011…
…0011011101100111100
3201102111120112122212002
42331033312123230330
511312130000212340
6233203352201432
720452364060624
oct2751766335474
9642446478762
10203203132220
11791a5963910
1233470399278
1316214b1659a
149b99683884
155444790715
hex2f4fd9bb3c

203203132220 has 96 divisors (see below), whose sum is σ = 468194259456. Its totient is φ = 73468281600.

The previous prime is 203203132217. The next prime is 203203132267. The reversal of 203203132220 is 22231302302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 203203132192 and 203203132201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71624642 + ... + 71627478.

It is an arithmetic number, because the mean of its divisors is an integer number (4877023536).

Almost surely, 2203203132220 is an apocalyptic number.

203203132220 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 203203132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234097129728).

203203132220 is an abundant number, since it is smaller than the sum of its proper divisors (264991127236).

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

203203132220 is a wasteful number, since it uses less digits than its factorization.

203203132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 203203132220 its reverse (22231302302), we get a palindrome (225434434522).

The spelling of 203203132220 in words is "two hundred three billion, two hundred three million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 844 1055 1543 2110 2321 2837 3086 4220 4642 5674 6172 7715 9284 11348 11605 14185 15430 16973 23210 28370 30860 31207 33946 46420 56740 62414 67892 84865 124828 156035 169730 312070 325573 339460 598607 624140 651146 1197214 1302292 1627865 2394428 2993035 3255730 3581303 4377491 5986070 6511460 6584677 7162606 8754982 11972140 13169354 14325212 17509964 17906515 21887455 26338708 32923385 35813030 43774910 48152401 65846770 71626060 87549820 96304802 131693540 192609604 240762005 481524010 923650601 963048020 1847301202 3694602404 4618253005 9236506010 10160156611 18473012020 20320313222 40640626444 50800783055 101601566110 203203132220