Search a number
-
+
11241332334 = 233792635099
BaseRepresentation
bin10100111100000100…
…10001111001101110
31002000102112211222000
422132002101321232
5141010240113314
65055244433130
7545366514441
oct123602217156
932012484860
1011241332334
114849491401
1222188487a6
1310a1c23a4b
14788d71658
1545bd60209
hex29e091e6e

11241332334 has 32 divisors (see below), whose sum is σ = 25296960000. Its totient is φ = 3699677592.

The previous prime is 11241332329. The next prime is 11241332339. The reversal of 11241332334 is 43323314211.

It is a happy number.

11241332334 is a `hidden beast` number, since 1 + 12 + 413 + 3 + 233 + 4 = 666.

11241332334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11241332329) and next prime (11241332339).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11241332298 and 11241332307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11241332339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1313284 + ... + 1321815.

It is an arithmetic number, because the mean of its divisors is an integer number (790530000).

Almost surely, 211241332334 is an apocalyptic number.

11241332334 is an abundant number, since it is smaller than the sum of its proper divisors (14055627666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11241332334 is a wasteful number, since it uses less digits than its factorization.

11241332334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635189 (or 2635183 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 11241332334 its reverse (43323314211), we get a palindrome (54564646545).

The spelling of 11241332334 in words is "eleven billion, two hundred forty-one million, three hundred thirty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 711 1422 2133 4266 2635099 5270198 7905297 15810594 23715891 47431782 71147673 142295346 208172821 416345642 624518463 1249036926 1873555389 3747110778 5620666167 11241332334