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2013123132032 = 27314311798593
BaseRepresentation
bin11101010010110111011…
…111010011101010000000
321010110020000100000211012
4131102313133103222000
5230440334010211112
64140452131140052
7265305032200145
oct35226737235200
97113200300735
102013123132032
11706840587151
122861a6a44628
13117ab52b875c
146d61570c3cc
1537575153022
hex1d4b77d3a80

2013123132032 has 64 divisors (see below), whose sum is σ = 4236167189760. Its totient is φ = 951438458880.

The previous prime is 2013123132029. The next prime is 2013123132049. The reversal of 2013123132032 is 2302313213102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2013123131989 and 2013123132007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5728673 + ... + 6069920.

It is an arithmetic number, because the mean of its divisors is an integer number (66190112340).

Almost surely, 22013123132032 is an apocalyptic number.

It is an amenable number.

2013123132032 is an abundant number, since it is smaller than the sum of its proper divisors (2223044057728).

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

2013123132032 is a wasteful number, since it uses less digits than its factorization.

2013123132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11798681 (or 11798669 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2013123132032 its reverse (2302313213102), we get a palindrome (4315436345134).

The spelling of 2013123132032 in words is "two trillion, thirteen billion, one hundred twenty-three million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 128 172 248 344 496 688 992 1333 1376 1984 2666 2752 3968 5332 5504 10664 21328 42656 85312 170624 11798593 23597186 47194372 94388744 188777488 365756383 377554976 507339499 731512766 755109952 1014678998 1463025532 1510219904 2029357996 2926051064 4058715992 5852102128 8117431984 11704204256 15727524469 16234863968 23408408512 31455048938 32469727936 46816817024 62910097876 64939455872 125820195752 251640391504 503280783008 1006561566016 2013123132032