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12300110133111 = 3217374574754443
BaseRepresentation
bin1011001011111101011110…
…1100011111011101110111
31121112212201211020110202200
42302333113230133131313
53103011111143224421
642054331555435543
72406440124032553
oct262772754373567
947485654213680
1012300110133111
113a124a15637a9
121467a15bb5bb3
136b2b8429c2c8
143074855cc863
15164e4a0d6726
hexb2fd7b1f777

12300110133111 has 48 divisors (see below), whose sum is σ = 19362644349984. Its totient is φ = 7492696307712.

The previous prime is 12300110132971. The next prime is 12300110133119. The reversal of 12300110133111 is 11133101100321.

12300110133111 is a `hidden beast` number, since 1 + 230 + 0 + 1 + 101 + 331 + 1 + 1 = 666.

It is not a de Polignac number, because 12300110133111 - 219 = 12300109608823 is a prime.

It is a super-3 number, since 3×123001101331113 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300110133119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209856 + ... + 4964298.

It is an arithmetic number, because the mean of its divisors is an integer number (403388423958).

Almost surely, 212300110133111 is an apocalyptic number.

12300110133111 is a deficient number, since it is larger than the sum of its proper divisors (7062534216873).

12300110133111 is a wasteful number, since it uses less digits than its factorization.

12300110133111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754960 (or 4754957 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 12300110133111 its reverse (11133101100321), we get a palindrome (23433211233432).

The spelling of 12300110133111 in words is "twelve trillion, three hundred billion, one hundred ten million, one hundred thirty-three thousand, one hundred eleven".

Divisors: 1 3 9 17 37 51 111 153 333 457 629 1371 1887 4113 5661 7769 16909 23307 50727 69921 152181 287453 862359 2587077 4754443 14263329 42789987 80825531 175914391 242476593 527743173 727429779 1583229519 2172780451 2990544647 6518341353 8971633941 19555024059 26914901823 36937267667 80392876687 110811803001 241178630061 332435409003 723535890183 1366678903679 4100036711037 12300110133111