Search a number
-
+
2133144431341 = 711229391722171
BaseRepresentation
bin11111000010101001010…
…100001110101011101101
321112221000111120202110221
4133002221110032223231
5234422134433300331
64311541504131341
7310054210332520
oct37025124165355
97487014522427
102133144431341
11752730469800
122a5501906b51
13126201a1c761
147535d7dabb7
153a74be14711
hex1f0a950eaed

2133144431341 has 48 divisors (see below), whose sum is σ = 2772887080320. Its totient is φ = 1604391465600.

The previous prime is 2133144431293. The next prime is 2133144431389. The reversal of 2133144431341 is 1431344413312.

It is an interprime number because it is at equal distance from previous prime (2133144431293) and next prime (2133144431389).

It is a de Polignac number, because none of the positive numbers 2k-2133144431341 is a prime.

It is a super-2 number, since 2×21331444313412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2133144431297 and 2133144431306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133144431641) 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, 96202186 + ... + 96224356.

It is an arithmetic number, because the mean of its divisors is an integer number (57768480840).

Almost surely, 22133144431341 is an apocalyptic number.

It is an amenable number.

2133144431341 is a deficient number, since it is larger than the sum of its proper divisors (639742648979).

2133144431341 is a wasteful number, since it uses less digits than its factorization.

2133144431341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26146 (or 26135 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

Adding to 2133144431341 its reverse (1431344413312), we get a palindrome (3564488844653).

The spelling of 2133144431341 in words is "two trillion, one hundred thirty-three billion, one hundred forty-four million, four hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 7 11 29 77 121 203 319 847 2233 3509 3917 22171 24563 27419 43087 113593 155197 243881 301609 473957 642959 795151 1249523 1707167 2682691 3317699 4500713 7072549 8746661 13744753 18778837 49507843 77798039 86843807 96213271 544586273 607906649 955281877 2518470403 6686973139 10508100647 17629292821 27703174433 73556704529 193922221031 304734918763 2133144431341