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132115213335 = 3576738092311
BaseRepresentation
bin111101100001010101…
…1100010110000010111
3110122000100002012211110
41323002223202300113
54131032443311320
6140405355310103
712354636533040
oct1730253426027
9418010065743
10132115213335
1151036659226
122173114b333
13c5c618b161
1465743958c7
1536838d35e0
hex1ec2ae2c17

132115213335 has 64 divisors (see below), whose sum is σ = 242344949760. Its totient is φ = 60205178880.

The previous prime is 132115213291. The next prime is 132115213337. The reversal of 132115213335 is 533312511231.

It is not a de Polignac number, because 132115213335 - 214 = 132115196951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132115213337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57166830 + ... + 57169140.

It is an arithmetic number, because the mean of its divisors is an integer number (3786639840).

Almost surely, 2132115213335 is an apocalyptic number.

132115213335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132115213335 is a deficient number, since it is larger than the sum of its proper divisors (110229736425).

132115213335 is a wasteful number, since it uses less digits than its factorization.

132115213335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808.

The product of its digits is 8100, while the sum is 30.

Adding to 132115213335 its reverse (533312511231), we get a palindrome (665427724566).

The spelling of 132115213335 in words is "one hundred thirty-two billion, one hundred fifteen million, two hundred thirteen thousand, three hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 105 673 809 2019 2311 2427 3365 4045 4711 5663 6933 10095 11555 12135 14133 16177 16989 23555 28315 34665 48531 70665 80885 84945 242655 544457 1555303 1633371 1869599 2722285 3811199 4665909 5608797 7776515 8166855 9347995 10887121 11433597 13087193 19055995 23329545 28043985 32661363 39261579 54435605 57167985 65435965 163306815 196307895 1258240127 3774720381 6291200635 8807680889 18873601905 26423042667 44038404445 132115213335