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132221313332311 = 7231531642357973
BaseRepresentation
bin11110000100000100101100…
…011010011011010001010111
3122100011020022122221021201111
4132010010230122123101113
5114312303222203113221
61145113344403435451
736564450255406600
oct3604045432332127
9570136278837644
10132221313332311
1139147820412235
12129b5462385b87
1358a1554938858
14249178d606da7
1510445a6bdbbe1
hex78412c69b457

132221313332311 has 24 divisors (see below), whose sum is σ = 161765691007104. Its totient is φ = 107607294325440.

The previous prime is 132221313332293. The next prime is 132221313332333. The reversal of 132221313332311 is 113233313122231.

It is not a de Polignac number, because 132221313332311 - 231 = 132219165848663 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132221313332351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 821098480 + ... + 821259493.

It is an arithmetic number, because the mean of its divisors is an integer number (6740237125296).

Almost surely, 2132221313332311 is an apocalyptic number.

132221313332311 is a deficient number, since it is larger than the sum of its proper divisors (29544377674793).

132221313332311 is a wasteful number, since it uses less digits than its factorization.

132221313332311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642358071 (or 1642358064 counting only the distinct ones).

The product of its digits is 11664, while the sum is 31.

Adding to 132221313332311 its reverse (113233313122231), we get a palindrome (245454626454542).

The spelling of 132221313332311 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, three hundred thirteen million, three hundred thirty-two thousand, three hundred eleven".

Divisors: 1 7 31 49 53 217 371 1519 1643 2597 11501 80507 1642357973 11496505811 50913097163 80475540677 87044972569 356391680141 609314807983 2494741760987 2698394149639 4265203655881 18888759047473 132221313332311