Search a number
-
+
11424331233 = 337237419557
BaseRepresentation
bin10101010001111000…
…10111010111100001
31002111011220011021000
422220330113113201
5141344112044413
65125343022213
7553051133100
oct125074272741
932434804230
1011424331233
114932812167
122269b9a969
131100b07913
147a53aa037
1546ce5c073
hex2a8f175e1

11424331233 has 96 divisors (see below), whose sum is σ = 20304950400. Its totient is φ = 6325216128.

The previous prime is 11424331201. The next prime is 11424331271. The reversal of 11424331233 is 33213342411.

It is a happy number.

11424331233 is a `hidden beast` number, since 1 + 1 + 424 + 3 + 3 + 1 + 233 = 666.

It is not a de Polignac number, because 11424331233 - 25 = 11424331201 is a prime.

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 = 11424331197 and 11424331206.

It is not an unprimeable number, because it can be changed into a prime (11424331283) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20510191 + ... + 20510747.

It is an arithmetic number, because the mean of its divisors is an integer number (211509900).

Almost surely, 211424331233 is an apocalyptic number.

It is an amenable number.

11424331233 is a deficient number, since it is larger than the sum of its proper divisors (8880619167).

11424331233 is a wasteful number, since it uses less digits than its factorization.

11424331233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1023 counting only the distinct ones).

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

Adding to 11424331233 its reverse (33213342411), we get a palindrome (44637673644).

The spelling of 11424331233 in words is "eleven billion, four hundred twenty-four million, three hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 27 37 49 63 111 147 189 259 333 419 441 557 777 999 1257 1323 1671 1813 2331 2933 3771 3899 5013 5439 6993 8799 11313 11697 15039 15503 16317 20531 20609 26397 27293 35091 46509 48951 61593 61827 79191 81879 105273 108521 139527 144263 184779 185481 233383 245637 325563 418581 432789 554337 556443 700149 736911 759647 976689 1009841 1298367 1633681 2100447 2278941 2930067 3029523 3895101 4901043 6301341 6836823 8635171 9088569 11435767 14703129 20510469 25905513 27265707 34307301 44109387 60446197 77716539 102921903 181338591 233149617 308765709 423123379 544015773 1269370137 1632047319 3808110411 11424331233