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11330322232104 = 2334372791169319
BaseRepresentation
bin1010010011100000101111…
…0101001111001100101000
31111010011112122012200210000
42210320023311033030220
52441113444442411404
640033024515223000
72246405642631021
oct244701365171450
944104478180700
1011330322232104
113679187578a67
12132ba85ba7a60
136425a22cac25
142b2567841c48
15149adade3339
hexa4e0bd4f328

11330322232104 has 160 divisors (see below), whose sum is σ = 32604977116800. Its totient is φ = 3673360782720.

The previous prime is 11330322232079. The next prime is 11330322232123. The reversal of 11330322232104 is 40123222303311.

11330322232104 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 0 + 322 + 232 + 104 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66832357 + ... + 67001675.

It is an arithmetic number, because the mean of its divisors is an integer number (203781106980).

Almost surely, 211330322232104 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 11330322232104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16302488558400).

11330322232104 is an abundant number, since it is smaller than the sum of its proper divisors (21274654884696).

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

11330322232104 is a wasteful number, since it uses less digits than its factorization.

11330322232104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172165 (or 172152 counting only the distinct ones).

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

Adding to 11330322232104 its reverse (40123222303311), we get a palindrome (51453544535415).

The spelling of 11330322232104 in words is "eleven trillion, three hundred thirty billion, three hundred twenty-two million, two hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1998 2664 2791 2997 3996 5582 5994 7992 8373 11164 11988 16746 22328 23976 25119 33492 50238 66984 75357 100476 103267 150714 169319 200952 206534 226071 301428 309801 338638 413068 452142 507957 602856 619602 677276 826136 904284 929403 1015914 1239204 1354552 1523871 1808568 1858806 2031828 2478408 2788209 3047742 3717612 4063656 4571613 5576418 6095484 6264803 7435224 8364627 9143226 11152836 12190968 12529606 13714839 16729254 18286452 18794409 22305672 25059212 27429678 33458508 36572904 37588818 50118424 54859356 56383227 66917016 75177636 109718712 112766454 150355272 169149681 225532908 338299362 451065816 472569329 507449043 676598724 945138658 1014898086 1353197448 1417707987 1890277316 2029796172 2835415974 3780554632 4059592344 4253123961 5670831948 8506247922 11341663896 12759371883 17012495844 17485065173 25518743766 34024991688 34970130346 38278115649 51037487532 52455195519 69940260692 76556231298 102074975064 104910391038 139880521384 153112462596 157365586557 209820782076 306224925192 314731173114 419641564152 472096759671 629462346228 944193519342 1258924692456 1416290279013 1888387038684 2832580558026 3776774077368 5665161116052 11330322232104