Search a number
-
+
2331123330141 = 3217233089214451
BaseRepresentation
bin100001111011000001110…
…001110010110001011101
322020212000222210212100100
4201323001301302301131
5301143120033031031
64542523035051313
7330263260241304
oct41730161626135
98225028725310
102331123330141
11819695390731
123179545a0b39
1313ba933b6b58
1480b812cd43b
1540987c08de6
hex21ec1c72c5d

2331123330141 has 48 divisors (see below), whose sum is σ = 3721479914880. Its totient is φ = 1398612019200.

The previous prime is 2331123330083. The next prime is 2331123330157. The reversal of 2331123330141 is 1410333211332.

2331123330141 is a `hidden beast` number, since 2 + 3 + 311 + 2 + 3 + 3 + 301 + 41 = 666.

2331123330141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-2331123330141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331123330841) 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, 10762966 + ... + 10977416.

It is an arithmetic number, because the mean of its divisors is an integer number (77530831560).

Almost surely, 22331123330141 is an apocalyptic number.

It is an amenable number.

2331123330141 is a deficient number, since it is larger than the sum of its proper divisors (1390356584739).

2331123330141 is a wasteful number, since it uses less digits than its factorization.

2331123330141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217586 (or 217583 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 2331123330141 its reverse (1410333211332), we get a palindrome (3741456541473).

The spelling of 2331123330141 in words is "two trillion, three hundred thirty-one billion, one hundred twenty-three million, three hundred thirty thousand, one hundred forty-one".

Divisors: 1 3 9 17 23 51 69 153 207 391 1173 3089 3519 9267 27801 52513 71047 157539 213141 214451 472617 639423 643353 1207799 1930059 3623397 3645667 4932373 10870191 10937001 14797119 32811003 44391357 83850341 251551023 662439139 754653069 1987317417 5961952251 11261465363 15236100197 33784396089 45708300591 101353188267 137124901773 259013703349 777041110047 2331123330141