Search a number
-
+
131220331311 = 3177724614581
BaseRepresentation
bin111101000110101010…
…1110101101100101111
3110112200222012111110210
41322031111311230233
54122214401100221
6140140511033503
712323522261406
oct1721525655457
9415628174423
10131220331311
1150717502103
122152150b893
13c4b2967174
1464cb5ac63d
153630068276
hex1e8d575b2f

131220331311 has 8 divisors (see below), whose sum is σ = 175058907184. Its totient is φ = 87430988160.

The previous prime is 131220331283. The next prime is 131220331327. The reversal of 131220331311 is 113133022131.

It is a happy number.

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

It is not a de Polignac number, because 131220331311 - 25 = 131220331279 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 (131220331381) 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, 12301960 + ... + 12312621.

It is an arithmetic number, because the mean of its divisors is an integer number (21882363398).

Almost surely, 2131220331311 is an apocalyptic number.

131220331311 is a deficient number, since it is larger than the sum of its proper divisors (43838575873).

131220331311 is a wasteful number, since it uses less digits than its factorization.

131220331311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24616361.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131220331311 its reverse (113133022131), we get a palindrome (244353353442).

The spelling of 131220331311 in words is "one hundred thirty-one billion, two hundred twenty million, three hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 1777 5331 24614581 73843743 43740110437 131220331311