Search a number
-
+
12011100112333 = 7194715431245281
BaseRepresentation
bin1010111011001000110101…
…0110110000010111001101
31120112020202012220020100001
42232302031112300113031
53033242213112043313
641313453452004301
72346526154266030
oct256621526602715
946466665806301
1012011100112333
113910973980563
12141b9b9160691
13691846299baa
142d74a9cad017
1515c682687add
hexaec8d5b05cd

12011100112333 has 32 divisors (see below), whose sum is σ = 14766454333440. Its totient is φ = 9539661703680.

The previous prime is 12011100112331. The next prime is 12011100112339. The reversal of 12011100112333 is 33321100111021.

It is a cyclic number.

It is not a de Polignac number, because 12011100112333 - 21 = 12011100112331 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12011100112333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011100112331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9022653 + ... + 10267933.

It is an arithmetic number, because the mean of its divisors is an integer number (461451697920).

Almost surely, 212011100112333 is an apocalyptic number.

It is an amenable number.

12011100112333 is a deficient number, since it is larger than the sum of its proper divisors (2755354221107).

12011100112333 is a wasteful number, since it uses less digits than its factorization.

12011100112333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246897.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 12011100112333 its reverse (33321100111021), we get a palindrome (45332200223354).

The spelling of 12011100112333 in words is "twelve trillion, eleven billion, one hundred million, one hundred twelve thousand, three hundred thirty-three".

Divisors: 1 7 19 47 133 329 893 1543 6251 10801 29317 72521 205219 507647 1245281 1377899 8716967 9645293 23660339 58528207 165622373 409697449 1112035933 1921468583 7784251531 13450280081 36507903077 90309023401 255555321539 632163163807 1715871444619 12011100112333