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131320623204 = 22325545765777
BaseRepresentation
bin111101001001101010…
…0011011000001100100
3110112221221220212002100
41322103110123001210
54122421034420304
6140154452412100
712326150610531
oct1722324330144
9415857825070
10131320623204
1150769082971
122154b017030
13c4ca680794
1464daa37d88
153638c79439
hex1e9351b064

131320623204 has 36 divisors (see below), whose sum is σ = 331960385484. Its totient is φ = 43772086272.

The previous prime is 131320623149. The next prime is 131320623209. The reversal of 131320623204 is 402326023131.

131320623204 is a `hidden beast` number, since 1 + 3 + 1 + 32 + 0 + 623 + 2 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28791302400 + 102529320804 = 169680^2 + 320202^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (131320623209) 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, 1963564 + ... + 2029340.

It is an arithmetic number, because the mean of its divisors is an integer number (9221121819).

Almost surely, 2131320623204 is an apocalyptic number.

It is an amenable number.

131320623204 is an abundant number, since it is smaller than the sum of its proper divisors (200639762280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131320623204 is a wasteful number, since it uses less digits than its factorization.

131320623204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121244 (or 121239 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131320623204 its reverse (402326023131), we get a palindrome (533646646335).

The spelling of 131320623204 in words is "one hundred thirty-one billion, three hundred twenty million, six hundred twenty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 55457 65777 110914 131554 166371 197331 221828 263108 332742 394662 499113 591993 665484 789324 998226 1183986 1996452 2367972 3647795089 7295590178 10943385267 14591180356 21886770534 32830155801 43773541068 65660311602 131320623204