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132321121414101 = 32419199717570923
BaseRepresentation
bin11110000101100001101001…
…011100000010101111010101
3122100111202221110110011200100
4132011201221130002233111
5114320422124040222401
61145231252313204313
736604612512201024
oct3605415134025725
9570452843404610
10132321121414101
1139186088485344
1212a10877a00699
1358aaa9c760709
14249653ad8a8bb
151046e99166b86
hex785869702bd5

132321121414101 has 24 divisors (see below), whose sum is σ = 191682615589920. Its totient is φ = 87959473262496.

The previous prime is 132321121414037. The next prime is 132321121414103. The reversal of 132321121414101 is 101414121123231.

132321121414101 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 21 + 121 + 414 + 101 = 666.

It is not a de Polignac number, because 132321121414101 - 26 = 132321121414037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132321121414103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1254775 + ... + 16316148.

It is an arithmetic number, because the mean of its divisors is an integer number (7986775649580).

Almost surely, 2132321121414101 is an apocalyptic number.

It is an amenable number.

132321121414101 is a deficient number, since it is larger than the sum of its proper divisors (59361494175819).

132321121414101 is a wasteful number, since it uses less digits than its factorization.

132321121414101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17573345 (or 17573342 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 132321121414101 its reverse (101414121123231), we get a palindrome (233735242537332).

The spelling of 132321121414101 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, one hundred twenty-one million, four hundred fourteen thousand, one hundred one".

Divisors: 1 3 9 419 1257 1997 3771 5991 17973 836743 2510229 7530687 17570923 52712769 158138307 7362216737 22086650211 35089133231 66259950633 105267399693 315802199079 14702346823789 44107040471367 132321121414101