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11211310244304 = 243429298300081
BaseRepresentation
bin1010001100100101011000…
…1010100010000111010000
31110200210100111011022020000
42203021112022202013100
52432141230410304204
635502223235250000
72234663501500452
oct243112612420720
943623314138200
1011211310244304
11363276539a055
1213109b1149900
136342b6a14481
142aa8b78062d2
15146972a52039
hexa32562a21d0

11211310244304 has 100 divisors (see below), whose sum is σ = 33567708227460. Its totient is φ = 3608237767680.

The previous prime is 11211310244261. The next prime is 11211310244311. The reversal of 11211310244304 is 40344201311211.

It is a happy number.

11211310244304 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 1 + 310 + 2 + 44 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8810211240000 + 2401099004304 = 2968200^2 + 1549548^2 .

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 149112457 + ... + 149187624.

Almost surely, 211211310244304 is an apocalyptic number.

It is an amenable number.

11211310244304 is an abundant number, since it is smaller than the sum of its proper divisors (22356397983156).

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

11211310244304 is a wasteful number, since it uses less digits than its factorization.

11211310244304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298300130 (or 298300115 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11211310244304 its reverse (40344201311211), we get a palindrome (51555511555515).

The spelling of 11211310244304 in words is "eleven trillion, two hundred eleven billion, three hundred ten million, two hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 348 432 464 522 648 696 783 1044 1296 1392 1566 2088 2349 3132 4176 4698 6264 9396 12528 18792 37584 298300081 596600162 894900243 1193200324 1789800486 2386400648 2684700729 3579600972 4772801296 5369401458 7159201944 8054102187 8650702349 10738802916 14318403888 16108204374 17301404698 21477605832 24162306561 25952107047 32216408748 34602809396 42955211664 48324613122 51904214094 64432817496 69205618792 77856321141 96649226244 103808428188 128865634992 138411237584 155712642282 193298452488 207616856376 233568963423 311425284564 386596904976 415233712752 467137926846 622850569128 700706890269 934275853692 1245701138256 1401413780538 1868551707384 2802827561076 3737103414768 5605655122152 11211310244304