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12300013030311 = 3231378913387813
BaseRepresentation
bin1011001011111101000111…
…1010000100101110100111
31121112212111001112010202200
42302333101322010232213
53103010411313432221
642054314210305543
72406434534465166
oct262772172045647
947485431463680
1012300013030311
113a12451770a56
1214679a95882b3
136b2b6a131426
143074767533dd
15164e41805426
hexb2fd1e84ba7

12300013030311 has 48 divisors (see below), whose sum is σ = 19047110734080. Its totient is φ = 7634265914880.

The previous prime is 12300013030273. The next prime is 12300013030339. The reversal of 12300013030311 is 11303031000321.

It is a happy number.

12300013030311 is a `hidden beast` number, since 1 + 230 + 0 + 0 + 130 + 303 + 1 + 1 = 666.

It is not a de Polignac number, because 12300013030311 - 26 = 12300013030247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300013030351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5775160 + ... + 7612653.

It is an arithmetic number, because the mean of its divisors is an integer number (396814806960).

Almost surely, 212300013030311 is an apocalyptic number.

12300013030311 is a deficient number, since it is larger than the sum of its proper divisors (6747097703769).

12300013030311 is a wasteful number, since it uses less digits than its factorization.

12300013030311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13387976 (or 13387973 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12300013030311 its reverse (11303031000321), we get a palindrome (23603044030632).

The spelling of 12300013030311 in words is "twelve trillion, three hundred billion, thirteen million, thirty thousand, three hundred eleven".

Divisors: 1 3 9 31 37 89 93 111 267 279 333 801 1147 2759 3293 3441 8277 9879 10323 24831 29637 102083 306249 918747 13387813 40163439 120490317 415022203 495349081 1191515357 1245066609 1486047243 3574546071 3735199827 4458141729 10723638213 15355821511 36936976067 44086068209 46067464533 110810928201 132258204627 138202393599 332432784603 396774613881 1366668114479 4100004343437 12300013030311