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203221000020 = 223537769119039
BaseRepresentation
bin1011110101000011101…
…0100101111101010100
3201102112211011102212110
42331100322211331110
511312144034000040
6233205231151020
720453001666423
oct2752072457524
9642484142773
10203221000020
1179204a58195
1233476375470
131621873134c
149b9bbb52ba
15544611e980
hex2f50ea5f54

203221000020 has 96 divisors (see below), whose sum is σ = 585162547200. Its totient is φ = 52658601984.

The previous prime is 203221000001. The next prime is 203221000027. The reversal of 203221000020 is 20000122302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203221000027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1647661 + ... + 1766699.

It is an arithmetic number, because the mean of its divisors is an integer number (6095443200).

Almost surely, 2203221000020 is an apocalyptic number.

203221000020 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 203221000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292581273600).

203221000020 is an abundant number, since it is smaller than the sum of its proper divisors (381941547180).

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

203221000020 is a wasteful number, since it uses less digits than its factorization.

203221000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119857 (or 119855 counting only the distinct ones).

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

Adding to 203221000020 its reverse (20000122302), we get a palindrome (223221122322).

The spelling of 203221000020 in words is "two hundred three billion, two hundred twenty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 769 1110 1538 2220 2307 3076 3845 4614 7690 9228 11535 15380 23070 28453 46140 56906 85359 113812 119039 142265 170718 238078 284530 341436 357117 426795 476156 569060 595195 714234 853590 1190390 1428468 1707180 1785585 2380780 3571170 4404443 7142340 8808886 13213329 17617772 22022215 26426658 44044430 52853316 66066645 88088860 91540991 132133290 183081982 264266580 274622973 366163964 457704955 549245946 915409910 1098491892 1373114865 1830819820 2746229730 3387016667 5492459460 6774033334 10161050001 13548066668 16935083335 20322100002 33870166670 40644200004 50805250005 67740333340 101610500010 203221000020