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132106042116 = 2232181140914389
BaseRepresentation
bin111101100001000100…
…0100011101100000100
3110121222200211021021200
41323002020203230010
54131023121321431
6140404430542500
712354465554556
oct1730210435404
9417880737250
10132106042116
1151031464804
122172a067a30
13c5c42c98b9
1465730894d6
153682bc0ee6
hex1ec2223b04

132106042116 has 72 divisors (see below), whose sum is σ = 336041323800. Its totient is φ = 43757936640.

The previous prime is 132106042109. The next prime is 132106042141. The reversal of 132106042116 is 611240601231.

It is a happy number.

132106042116 is a `hidden beast` number, since 1 + 3 + 21 + 0 + 604 + 21 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19612882116 + 112493160000 = 140046^2 + 335400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 132106042116.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9173850 + ... + 9188238.

Almost surely, 2132106042116 is an apocalyptic number.

It is an amenable number.

132106042116 is an abundant number, since it is smaller than the sum of its proper divisors (203935281684).

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

132106042116 is a wasteful number, since it uses less digits than its factorization.

132106042116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15989 (or 15984 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 132106042116 its reverse (611240601231), we get a palindrome (743346643347).

The spelling of 132106042116 in words is "one hundred thirty-two billion, one hundred six million, forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1409 1629 2172 2818 3258 4227 5636 6516 8454 12681 14389 16908 25362 28778 43167 50724 57556 86334 129501 172668 255029 259002 510058 518004 765087 1020116 1530174 2295261 2604409 3060348 4590522 5208818 7813227 9181044 10417636 15626454 20274101 23439681 31252908 40548202 46879362 60822303 81096404 93758724 121644606 182466909 243289212 364933818 729867636 3669612281 7339224562 11008836843 14678449124 22017673686 33026510529 44035347372 66053021058 132106042116