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12432434402311 = 7113726316592353
BaseRepresentation
bin1011010011101010011011…
…0101100001010000000111
31122000112021201200211022221
42310322212311201100013
53112143111201333221
642235214224033211
72422133212541140
oct264724665412007
948015251624287
1012432434402311
113a6362511a770
1214895a5162807
136c24b1865651
1430da39642ac7
151685e2012541
hexb4ea6d61407

12432434402311 has 32 divisors (see below), whose sum is σ = 15979631551488. Its totient is φ = 9389943843840.

The previous prime is 12432434402303. The next prime is 12432434402329. The reversal of 12432434402311 is 11320443423421.

It is not a de Polignac number, because 12432434402311 - 23 = 12432434402303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432434402111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7546890 + ... + 9045463.

It is an arithmetic number, because the mean of its divisors is an integer number (499363485984).

Almost surely, 212432434402311 is an apocalyptic number.

12432434402311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12432434402311 is a deficient number, since it is larger than the sum of its proper divisors (3547197149177).

12432434402311 is a wasteful number, since it uses less digits than its factorization.

12432434402311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16592671.

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 12432434402311 its reverse (11320443423421), we get a palindrome (23752877825732).

The spelling of 12432434402311 in words is "twelve trillion, four hundred thirty-two billion, four hundred thirty-four million, four hundred two thousand, three hundred eleven".

Divisors: 1 7 11 37 77 259 263 407 1841 2849 2893 9731 20251 68117 107041 749287 16592353 116146471 182515883 613917061 1277611181 4297419427 4363788839 6753087671 30546521873 47271613697 48001677229 161460187043 336011740603 1130221309301 1776062057473 12432434402311