Search a number
-
+
201112120020 = 22357268405483
BaseRepresentation
bin1011101101001100110…
…1110110101011010100
3201020002211221020100210
42323103031312223110
511243334200320040
6232220054405420
720346513546300
oct2732315665324
9636084836323
10201112120020
1178322604459
1232b88060870
1315c70854666
149a3ba96d00
155370e01480
hex2ed3376ad4

201112120020 has 72 divisors (see below), whose sum is σ = 655050914784. Its totient is φ = 45968483904.

The previous prime is 201112120007. The next prime is 201112120093. The reversal of 201112120020 is 20021211102.

It is a super-3 number, since 3×2011121200203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201112119978 and 201112120005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34199802 + ... + 34205681.

It is an arithmetic number, because the mean of its divisors is an integer number (9097929372).

Almost surely, 2201112120020 is an apocalyptic number.

201112120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201112120020 is an abundant number, since it is smaller than the sum of its proper divisors (453938794764).

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

201112120020 is a wasteful number, since it uses less digits than its factorization.

201112120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68405509 (or 68405500 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201112120020 its reverse (20021211102), we get a palindrome (221133331122).

The spelling of 201112120020 in words is "two hundred one billion, one hundred twelve million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 68405483 136810966 205216449 273621932 342027415 410432898 478838381 684054830 820865796 957676762 1026082245 1368109660 1436515143 1915353524 2052164490 2394191905 2873030286 3351868667 4104328980 4788383810 5746060572 6703737334 7182575715 9576767620 10055606001 13407474668 14365151430 16759343335 20111212002 28730302860 33518686670 40222424004 50278030005 67037373340 100556060010 201112120020