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201220243420 = 2257346396323
BaseRepresentation
bin1011101101100110101…
…0010011111111011100
3201020101101101110210011
42323121222103333130
511244044340242140
6232234520053004
720352265564000
oct2733152237734
9636341343704
10201220243420
1178378644139
1232bb8304164
1315c8a0807c1
149a4c1a0700
15537a65ccea
hex2ed9a93fdc

201220243420 has 96 divisors (see below), whose sum is σ = 492968448000. Its totient is φ = 68964017472.

The previous prime is 201220243391. The next prime is 201220243421. The reversal of 201220243420 is 24342022102.

It is a junction number, because it is equal to n+sod(n) for n = 201220243391 and 201220243400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201220243421) 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, 31820379 + ... + 31826701.

It is an arithmetic number, because the mean of its divisors is an integer number (5135088000).

Almost surely, 2201220243420 is an apocalyptic number.

201220243420 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 201220243420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246484224000).

201220243420 is an abundant number, since it is smaller than the sum of its proper divisors (291748204580).

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

201220243420 is a wasteful number, since it uses less digits than its factorization.

201220243420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10992 (or 10976 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 201220243420 its reverse (24342022102), we get a palindrome (225562265522).

The spelling of 201220243420 in words is "two hundred one billion, two hundred twenty million, two hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 4639 6323 6860 9278 12646 18556 23195 25292 31615 32473 44261 46390 63230 64946 88522 92780 126460 129892 162365 177044 221305 227311 309827 324730 442610 454622 619654 649460 885220 909244 1136555 1239308 1549135 1591177 2168789 2273110 3098270 3182354 4337578 4546220 6196540 6364708 7955885 8675156 10843945 15911770 21687890 29332397 31823540 43375780 58664794 117329588 146661985 205326779 293323970 410653558 586647940 821307116 1026633895 1437287453 2053267790 2874574906 4106535580 5749149812 7186437265 10061012171 14372874530 20122024342 28745749060 40244048684 50305060855 100610121710 201220243420