Search a number
-
+
112201120212120 = 23325232589167823
BaseRepresentation
bin11001100000101111011011…
…111010011110010010011000
3112201021022200222112222201100
4121200233123322132102120
5104201300343233241440
61034344252200551400
732430156232566312
oct3140573372362230
9481238628488640
10112201120212120
1132829256312115
12107013b4182560
134a7b69bc614b4
141d9c7c55927b2
15ce891e18e230
hex660bdbe9e498

112201120212120 has 144 divisors (see below), whose sum is σ = 381197473806240. Its totient is φ = 28619416121472.

The previous prime is 112201120212107. The next prime is 112201120212191. The reversal of 112201120212120 is 21212021102211.

112201120212120 is a `hidden beast` number, since 1 + 1 + 220 + 112 + 0 + 212 + 120 = 666.

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 = 112201120212093 and 112201120212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 294393472 + ... + 294774351.

It is an arithmetic number, because the mean of its divisors is an integer number (2647204679210).

Almost surely, 2112201120212120 is an apocalyptic number.

112201120212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112201120212120 is an abundant number, since it is smaller than the sum of its proper divisors (268996353594120).

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

112201120212120 is a wasteful number, since it uses less digits than its factorization.

112201120212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589167886 (or 589167856 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112201120212120 its reverse (21212021102211), we get a palindrome (133413141314331).

The spelling of 112201120212120 in words is "one hundred twelve trillion, two hundred one billion, one hundred twenty million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 529 552 690 828 920 1035 1058 1380 1587 1656 2070 2116 2645 2760 3174 4140 4232 4761 5290 6348 7935 8280 9522 10580 12696 15870 19044 21160 23805 31740 38088 47610 63480 95220 190440 589167823 1178335646 1767503469 2356671292 2945839115 3535006938 4713342584 5302510407 5891678230 7070013876 8837517345 10605020814 11783356460 13550859929 14140027752 17675034690 21210041628 23566712920 26512552035 27101719858 35350069380 40652579787 42420083256 53025104070 54203439716 67754299645 70700138760 81305159574 106050208140 108406879432 121957739361 135508599290 162610319148 203262898935 212100416280 243915478722 271017198580 311669778367 325220638296 406525797870 487830957444 542034397160 609788696805 623339556734 813051595740 935009335101 975661914888 1219577393610 1246679113468 1558348891835 1626103191480 1870018670202 2439154787220 2493358226936 2805028005303 3116697783670 3740037340404 4675046675505 4878309574440 5610056010606 6233395567340 7480074680808 9350093351010 11220112021212 12466791134680 14025140026515 18700186702020 22440224042424 28050280053030 37400373404040 56100560106060 112201120212120