Search a number
-
+
241133121333 = 32133535838433
BaseRepresentation
bin1110000010010010100…
…1110110111100110101
3212001101222111202020200
43200210221312330311
512422320034340313
6302435223351113
723264334466356
oct3404451667465
9761358452220
10241133121333
119329a3a7055
123a896bb2499
131997b07b020
14b956d6dd2d
156414685b73
hex3824a76f35

241133121333 has 24 divisors (see below), whose sum is σ = 376158625752. Its totient is φ = 147969220608.

The previous prime is 241133121287. The next prime is 241133121349. The reversal of 241133121333 is 333121331142.

241133121333 is a `hidden beast` number, since 2 + 4 + 1 + 13 + 312 + 1 + 333 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10188479844 + 230944641489 = 100938^2 + 480567^2 .

It is not a de Polignac number, because 241133121333 - 210 = 241133120309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 241133121297 and 241133121306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241133121353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2877916 + ... + 2960517.

It is an arithmetic number, because the mean of its divisors is an integer number (15673276073).

Almost surely, 2241133121333 is an apocalyptic number.

It is an amenable number.

241133121333 is a deficient number, since it is larger than the sum of its proper divisors (135025504419).

241133121333 is a wasteful number, since it uses less digits than its factorization.

241133121333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838805 (or 5838802 counting only the distinct ones).

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

Adding to 241133121333 its reverse (333121331142), we get a palindrome (574254452475).

The spelling of 241133121333 in words is "two hundred forty-one billion, one hundred thirty-three million, one hundred twenty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 13 39 117 353 1059 3177 4589 13767 41301 5838433 17515299 52545897 75899629 227698887 683096661 2060966849 6182900547 18548701641 26792569037 80377707111 241133121333