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203221300320 = 25325141125903
BaseRepresentation
bin1011110101000011101…
…1101111010001100000
3201102112211201200210200
42331100323233101200
511312144123102240
6233205241425200
720453004360063
oct2752073572140
9642484650720
10203221300320
1179205142875
123347649b200
1316218807c3c
149b9bc528da
15544617d930
hex2f50eef460

203221300320 has 72 divisors (see below), whose sum is σ = 693492692256. Its totient is φ = 54192346368.

The previous prime is 203221300319. The next prime is 203221300339. The reversal of 203221300320 is 23003122302.

It is a happy number.

203221300320 is a `hidden beast` number, since 20 + 3 + 2 + 21 + 300 + 320 = 666.

203221300320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 203221300293 and 203221300302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70561512 + ... + 70564391.

It is an arithmetic number, because the mean of its divisors is an integer number (9631842948).

Almost surely, 2203221300320 is an apocalyptic number.

203221300320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203221300320 is an abundant number, since it is smaller than the sum of its proper divisors (490271391936).

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

203221300320 is a wasteful number, since it uses less digits than its factorization.

203221300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141125924 (or 141125913 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 203221300320 its reverse (23003122302), we get a palindrome (226224422622).

The spelling of 203221300320 in words is "two hundred three billion, two hundred twenty-one million, three hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 141125903 282251806 423377709 564503612 705629515 846755418 1129007224 1270133127 1411259030 1693510836 2116888545 2258014448 2540266254 2822518060 3387021672 4233777090 4516028896 5080532508 5645036120 6350665635 6774043344 8467554180 10161065016 11290072240 12701331270 13548086688 16935108360 20322130032 22580144480 25402662540 33870216720 40644260064 50805325080 67740433440 101610650160 203221300320