Search a number
-
+
131232122113121 = 977057319170341
BaseRepresentation
bin11101110101101011011100…
…000001011000110001100001
3122012122200001020010211001122
4131311223130001120301201
5114200101341230104441
61143035112110542025
736433131215650211
oct3565533401306141
9565580036124048
10131232122113121
11388a625979a347
12128757b8207915
13582c19ca96003
1424599508d6241
1510289ae34234b
hex775adc058c61

131232122113121 has 8 divisors (see below), whose sum is σ = 132586916198184. Its totient is φ = 129877366510080.

The previous prime is 131232122113111. The next prime is 131232122113139. The reversal of 131232122113121 is 121311221232131.

It can be written as a sum of positive squares in 4 ways, for example, as 35200726320400 + 96031395792721 = 5933020^2 + 9799561^2 .

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 131232122113121 - 210 = 131232122112097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131232122113111) 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 7 ways as a sum of consecutive naturals, for example, 2739590 + ... + 16430751.

It is an arithmetic number, because the mean of its divisors is an integer number (16573364524773).

Almost surely, 2131232122113121 is an apocalyptic number.

It is an amenable number.

131232122113121 is a deficient number, since it is larger than the sum of its proper divisors (1354794085063).

131232122113121 is an equidigital number, since it uses as much as digits as its factorization.

131232122113121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19241011.

The product of its digits is 864, while the sum is 26.

Adding to 131232122113121 its reverse (121311221232131), we get a palindrome (252543343345252).

The spelling of 131232122113121 in words is "one hundred thirty-one trillion, two hundred thirty-two billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 97 70573 6845581 19170341 1859523077 1352908475393 131232122113121