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201222231120 = 24325279475321
BaseRepresentation
bin1011101101100111000…
…1111001010001010000
3201020101112010110101200
42323121301321101100
511244100342343440
6232235030431200
720352321513021
oct2733161712120
9636345113350
10201222231120
1178379781569
1232bb8b02500
1315c8a5c8461
149a4c55ac48
15537a901c30
hex2ed9c79450

201222231120 has 60 divisors (see below), whose sum is σ = 675771328596. Its totient is φ = 53659261440.

The previous prime is 201222231109. The next prime is 201222231137. The reversal of 201222231120 is 21132222102.

201222231120 is a `hidden beast` number, since 201 + 222 + 231 + 12 + 0 = 666.

201222231120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35716464144 + 165505766976 = 188988^2 + 406824^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 201222231093 and 201222231102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139736941 + ... + 139738380.

Almost surely, 2201222231120 is an apocalyptic number.

201222231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222231120 is an abundant number, since it is smaller than the sum of its proper divisors (474549097476).

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

201222231120 is a wasteful number, since it uses less digits than its factorization.

201222231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279475340 (or 279475331 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201222231120 its reverse (21132222102), we get a palindrome (222354453222).

The spelling of 201222231120 in words is "two hundred one billion, two hundred twenty-two million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 279475321 558950642 838425963 1117901284 1397376605 1676851926 2235802568 2515277889 2794753210 3353703852 4192129815 4471605136 5030555778 5589506420 6707407704 8384259630 10061111556 11179012840 12576389445 13414815408 16768519260 20122223112 22358025680 25152778890 33537038520 40244446224 50305557780 67074077040 100611115560 201222231120