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12323300110011 = 3511231135117659
BaseRepresentation
bin1011001101010011110111…
…1011001110111010111011
31121122002120222021100200000
42303110331323032322323
53103401104312010021
642113125041244043
72411220602422632
oct263247573167273
947562528240600
1012323300110011
113a2131170a670
121470408333623
136b510b816527
14308645410519
15165855e20b26
hexb353deceebb

12323300110011 has 96 divisors (see below), whose sum is σ = 21016333578240. Its totient is φ = 7142908212000.

The previous prime is 12323300109997. The next prime is 12323300110061. The reversal of 12323300110011 is 11001100332321.

12323300110011 is a `hidden beast` number, since 1 + 232 + 330 + 0 + 1 + 100 + 1 + 1 = 666.

It is not a de Polignac number, because 12323300110011 - 25 = 12323300109979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12323300110061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 697839300 + ... + 697856958.

It is an arithmetic number, because the mean of its divisors is an integer number (218920141440).

Almost surely, 212323300110011 is an apocalyptic number.

12323300110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12323300110011 is a deficient number, since it is larger than the sum of its proper divisors (8693033468229).

12323300110011 is a wasteful number, since it uses less digits than its factorization.

12323300110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29059 (or 29047 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12323300110011 its reverse (11001100332321), we get a palindrome (23324400442332).

The spelling of 12323300110011 in words is "twelve trillion, three hundred twenty-three billion, three hundred million, one hundred ten thousand, eleven".

Divisors: 1 3 9 11 23 27 33 69 81 99 207 243 253 297 621 759 891 1863 2277 2673 5589 6831 11351 17659 20493 34053 52977 61479 102159 124861 158931 194249 261073 306477 374583 406157 476793 582747 783219 919431 1123749 1218471 1430379 1748241 2349657 2758293 2871803 3371247 3655413 4291137 4467727 5244723 7048971 8615409 10113741 10966239 13403181 15734169 21146913 25846227 30341223 32898717 40209543 47202507 63440739 77538681 98696151 120628629 200447309 232616043 361885887 601341927 697848129 1085657661 1804025781 2204920399 4610288107 5412077343 6614761197 13830864321 16236232029 19844283591 41492592963 48708696087 50713169177 59532850773 124477778889 152139507531 178598552319 373433336667 456418522593 535795656957 1120300010001 1369255567779 4107766703337 12323300110011