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11330033232232 = 23111347433486653
BaseRepresentation
bin1010010011011111101010…
…0110110010100101101000
31111010010210111101222111001
42210313322212302211220
52441112402001412412
640032540113044344
72246365533314551
oct244677246624550
944103714358431
1011330033232232
1136790494280a0
12132ba052566b4
13642557481ca0
142b253b2d3328
15149ac0858957
hexa4dfa9b2968

11330033232232 has 128 divisors (see below), whose sum is σ = 25547699842560. Its totient is φ = 4641959301120.

The previous prime is 11330033232191. The next prime is 11330033232257. The reversal of 11330033232232 is 23223233003311.

It is a self number, because there is not a number n which added to its sum of digits gives 11330033232232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23038218 + ... + 23524870.

It is an arithmetic number, because the mean of its divisors is an integer number (199591405020).

Almost surely, 211330033232232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11330033232232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12773849921280).

11330033232232 is an abundant number, since it is smaller than the sum of its proper divisors (14217666610328).

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

11330033232232 is a wasteful number, since it uses less digits than its factorization.

11330033232232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487163 (or 487159 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 11330033232232 its reverse (23223233003311), we get a palindrome (34553266235543).

The spelling of 11330033232232 in words is "eleven trillion, three hundred thirty billion, thirty-three million, two hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 47 52 88 94 104 143 188 286 376 433 517 572 611 866 1034 1144 1222 1732 2068 2444 3464 4136 4763 4888 5629 6721 9526 11258 13442 19052 20351 22516 26884 38104 40702 45032 53768 61919 81404 123838 162808 223861 247676 264563 447722 486653 495352 529126 895444 973306 1058252 1790888 1946612 2116504 2910193 3893224 5353183 5820386 6326489 10706366 11640772 12652978 21412732 22872691 23281544 25305956 42825464 45745382 50611912 69591379 91490764 139182758 182981528 210720749 251599601 278365516 297344983 421441498 503199202 556731032 594689966 842882996 1006398404 1189379932 1685765992 2012796808 2317928239 2378759864 2739369737 3270794813 4635856478 5478739474 6541589626 9271712956 9903875203 10957478948 13083179252 18543425912 19807750406 21914957896 26166358504 30133067107 39615500812 60266134214 79231001624 108942627233 120532268428 128750377639 217885254466 241064536856 257500755278 435770508932 515001510556 871541017864 1030003021112 1416254154029 2832508308058 5665016616116 11330033232232