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201112023120 = 24352513338513
BaseRepresentation
bin1011101101001100110…
…1011111000001010000
3201020002211202022102220
42323103031133001100
511243334134214440
6232220052341040
720346512663631
oct2732315370120
9636084668386
10201112023120
1178322548678
1232b88014780
1315c7081c518
149a3ba6d888
155370dd28d0
hex2ed335f050

201112023120 has 80 divisors (see below), whose sum is σ = 625931312832. Its totient is φ = 53416192000.

The previous prime is 201112023083. The next prime is 201112023157. The reversal of 201112023120 is 21320211102.

201112023120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201112023083) and next prime (201112023157).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201112023120.

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 15 ways as a sum of consecutive naturals, for example, 1609017 + ... + 1729496.

Almost surely, 2201112023120 is an apocalyptic number.

201112023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201112023120 is an abundant number, since it is smaller than the sum of its proper divisors (424819289712).

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

201112023120 is a wasteful number, since it uses less digits than its factorization.

201112023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338780 (or 3338774 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201112023120 its reverse (21320211102), we get a palindrome (222432234222).

It can be divided in two parts, 20111 and 2023120, that added together give a triangular number (2043231 = T2021).

The spelling of 201112023120 in words is "two hundred one billion, one hundred twelve million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 251 502 753 1004 1255 1506 2008 2510 3012 3765 4016 5020 6024 7530 10040 12048 15060 20080 30120 60240 3338513 6677026 10015539 13354052 16692565 20031078 26708104 33385130 40062156 50077695 53416208 66770260 80124312 100155390 133540520 160248624 200310780 267081040 400621560 801243120 837966763 1675933526 2513900289 3351867052 4189833815 5027800578 6703734104 8379667630 10055601156 12569501445 13407468208 16759335260 20111202312 25139002890 33518670520 40222404624 50278005780 67037341040 100556011560 201112023120