Search a number
-
+
11342134663101 = 32111015991893701
BaseRepresentation
bin1010010100001100101111…
…1010000101011110111101
31111011022000212101100211100
42211003023322011132331
52441312142433204401
640042301004443313
72250304445633244
oct245031372053675
944138025340740
1011342134663101
113683199368230
121332221b49539
1364373563b678
142b2d6859595b
1514a07ce62b86
hexa50cbe857bd

11342134663101 has 48 divisors (see below), whose sum is σ = 18079551734400. Its totient is φ = 6794595600000.

The previous prime is 11342134663033. The next prime is 11342134663163. The reversal of 11342134663101 is 10136643124311.

11342134663101 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 2 + 13 + 4 + 6 + 631 + 0 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-11342134663101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11342134662101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5042551 + ... + 6936251.

It is an arithmetic number, because the mean of its divisors is an integer number (376657327800).

Almost surely, 211342134663101 is an apocalyptic number.

11342134663101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11342134663101 is a deficient number, since it is larger than the sum of its proper divisors (6737417071299).

11342134663101 is a wasteful number, since it uses less digits than its factorization.

11342134663101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894418 (or 1894415 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 11342134663101 its reverse (10136643124311), we get a palindrome (21478777787412).

The spelling of 11342134663101 in words is "eleven trillion, three hundred forty-two billion, one hundred thirty-four million, six hundred sixty-three thousand, one hundred one".

Divisors: 1 3 9 11 33 99 101 303 599 909 1111 1797 3333 5391 6589 9999 19767 59301 60499 181497 544491 665489 1893701 1996467 5681103 5989401 17043309 20830711 62492133 187476399 191263801 573791403 1134326899 1721374209 2103901811 3402980697 6311705433 10208942091 12477595889 18935116299 37432787667 112298363001 114567016799 343701050397 1031103151191 1260237184789 3780711554367 11342134663101