Search a number
-
+
12331132133 = 761127712689
BaseRepresentation
bin10110111101111111…
…00010010011100101
31011211101012102020112
423132333202103211
5200223232212013
65355334542405
7614401615355
oct133677422345
934741172215
1012331132133
11525866a0a1
122481807a05
1312169429b8
1484d9b6b65
154c287dba8
hex2defe24e5

12331132133 has 8 divisors (see below), whose sum is σ = 12357978840. Its totient is φ = 12304314880.

The previous prime is 12331132109. The next prime is 12331132141. The reversal of 12331132133 is 33123113321.

It can be written as a sum of positive squares in 4 ways, for example, as 167909764 + 12163222369 = 12958^2 + 110287^2 .

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 12331132133 - 214 = 12331115749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12331132099 and 12331132108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331132433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 965453 + ... + 978141.

It is an arithmetic number, because the mean of its divisors is an integer number (1544747355).

Almost surely, 212331132133 is an apocalyptic number.

It is an amenable number.

12331132133 is a deficient number, since it is larger than the sum of its proper divisors (26846707).

12331132133 is a wasteful number, since it uses less digits than its factorization.

12331132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14727.

The product of its digits is 972, while the sum is 23.

Adding to 12331132133 its reverse (33123113321), we get a palindrome (45454245454).

The spelling of 12331132133 in words is "twelve billion, three hundred thirty-one million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 761 1277 12689 971797 9656329 16203853 12331132133