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132131102103 = 327111314666567
BaseRepresentation
bin111101100001110100…
…0001001110110010111
3110122001102222110010100
41323003220021312113
54131101030231403
6140411124025143
712355221560010
oct1730350116627
9418042873110
10132131102103
1151044620740
12217365321b3
13c5c95621b0
146576530007
153684ec12a3
hex1ec3a09d97

132131102103 has 48 divisors (see below), whose sum is σ = 256254276096. Its totient is φ = 63359565120.

The previous prime is 132131102099. The next prime is 132131102111. The reversal of 132131102103 is 301201131231.

It is not a de Polignac number, because 132131102103 - 22 = 132131102099 is a prime.

It is a super-3 number, since 3×1321311021033 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131102183) 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, 7324275 + ... + 7342292.

It is an arithmetic number, because the mean of its divisors is an integer number (5338630752).

Almost surely, 2132131102103 is an apocalyptic number.

132131102103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132131102103 is a deficient number, since it is larger than the sum of its proper divisors (124123173993).

132131102103 is a wasteful number, since it uses less digits than its factorization.

132131102103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14666604 (or 14666601 counting only the distinct ones).

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

Adding to 132131102103 its reverse (301201131231), we get a palindrome (433332233334).

The spelling of 132131102103 in words is "one hundred thirty-two billion, one hundred thirty-one million, one hundred two thousand, one hundred three".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 14666567 43999701 102665969 131999103 161332237 190665371 307997907 483996711 571996113 923993721 1129325659 1334657597 1451990133 1715988339 2097319081 3387976977 4003972791 6291957243 10163930931 12011918373 14681233567 18875871729 44043700701 132131102103