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131332321001 = 7211909225061
BaseRepresentation
bin111101001010000000…
…1000010111011101001
3110112222202221011110002
41322110001002323221
54122432033233001
6140155551232345
712326352211100
oct1722401027351
9415882834402
10131332321001
1150774742672
1221552b186b5
13c4ccc1805b
1464dc401037
153639cda46b
hex1e94042ee9

131332321001 has 12 divisors (see below), whose sum is σ = 152787839940. Its totient is φ = 112560608160.

The previous prime is 131332320991. The next prime is 131332321007. The reversal of 131332321001 is 100123233131.

It can be written as a sum of positive squares in 2 ways, for example, as 79995637225 + 51336683776 = 282835^2 + 226576^2 .

It is not a de Polignac number, because 131332321001 - 26 = 131332320937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131332321007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 471011 + ... + 696071.

It is an arithmetic number, because the mean of its divisors is an integer number (12732319995).

Almost surely, 2131332321001 is an apocalyptic number.

It is an amenable number.

131332321001 is a deficient number, since it is larger than the sum of its proper divisors (21455518939).

131332321001 is a wasteful number, since it uses less digits than its factorization.

131332321001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236984 (or 236977 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131332321001 its reverse (100123233131), we get a palindrome (231455554132).

The spelling of 131332321001 in words is "one hundred thirty-one billion, three hundred thirty-two million, three hundred twenty-one thousand, one".

Divisors: 1 7 49 11909 83363 225061 583541 1575427 11027989 2680251449 18761760143 131332321001