Search a number
-
+
131132132333 = 1973613310837
BaseRepresentation
bin111101000100000010…
…1011000101111101101
3110112110211020112012222
41322020011120233231
54122024311213313
6140124040405125
712321401506466
oct1721005305755
9415424215188
10131132132333
1150681740994
12214b7a767a5
13c49a5c5c17
1464bd9add6d
153627445208
hex1e88158bed

131132132333 has 8 divisors (see below), whose sum is σ = 131232096408. Its totient is φ = 131032206144.

The previous prime is 131132132321. The next prime is 131132132353. The reversal of 131132132333 is 333231231131.

It can be written as a sum of positive squares in 4 ways, for example, as 19106703529 + 112025428804 = 138227^2 + 334702^2 .

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 131132132333 - 26 = 131132132269 is a prime.

It is a super-2 number, since 2×1311321323332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131132132303) 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, 12094991 + ... + 12105827.

It is an arithmetic number, because the mean of its divisors is an integer number (16404012051).

Almost surely, 2131132132333 is an apocalyptic number.

It is an amenable number.

131132132333 is a deficient number, since it is larger than the sum of its proper divisors (99964075).

131132132333 is a wasteful number, since it uses less digits than its factorization.

131132132333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18943.

The product of its digits is 2916, while the sum is 26.

Adding to 131132132333 its reverse (333231231131), we get a palindrome (464363363464).

The spelling of 131132132333 in words is "one hundred thirty-one billion, one hundred thirty-two million, one hundred thirty-two thousand, three hundred thirty-three".

Divisors: 1 1973 6133 10837 12100409 21381401 66463321 131132132333