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131233320101 = 1341813241429
BaseRepresentation
bin111101000111000011…
…1011000110010100101
3110112201212122101202002
41322032013120302211
54122231212220401
6140142053255045
712324040546532
oct1721607306245
9415655571662
10131233320101
1150723873844
1221525934485
13c4b5564240
1464cd1cdd89
153631281a6b
hex1e8e1d8ca5

131233320101 has 8 divisors (see below), whose sum is σ = 141332156280. Its totient is φ = 121135050432.

The previous prime is 131233320061. The next prime is 131233320109. The reversal of 131233320101 is 101023332131.

It can be written as a sum of positive squares in 4 ways, for example, as 3588609025 + 127644711076 = 59905^2 + 357274^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131233320101 - 226 = 131166211237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131233320109) 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 7 ways as a sum of consecutive naturals, for example, 422855 + ... + 664283.

It is an arithmetic number, because the mean of its divisors is an integer number (17666519535).

Almost surely, 2131233320101 is an apocalyptic number.

It is an amenable number.

131233320101 is a deficient number, since it is larger than the sum of its proper divisors (10098836179).

131233320101 is a wasteful number, since it uses less digits than its factorization.

131233320101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283255.

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

Adding to 131233320101 its reverse (101023332131), we get a palindrome (232256652232).

The spelling of 131233320101 in words is "one hundred thirty-one billion, two hundred thirty-three million, three hundred twenty thousand, one hundred one".

Divisors: 1 13 41813 241429 543569 3138577 10094870777 131233320101