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12331330141 = 133725636861
BaseRepresentation
bin10110111110000000…
…10010101001011101
31011211101120110212011
423133000102221131
5200223310031031
65355343111221
7614403401554
oct133700225135
934741513764
1012331330141
115258794939
1224818a2511
1312169b1b70
1484da28d9b
154c28bc6b1
hex2df012a5d

12331330141 has 8 divisors (see below), whose sum is σ = 13638810584. Its totient is φ = 11075123520.

The previous prime is 12331330139. The next prime is 12331330159. The reversal of 12331330141 is 14103313321.

12331330141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 138532900 + 12192797241 = 11770^2 + 110421^2 .

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 12331330141 - 21 = 12331330139 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 (12331330111) 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 7 ways as a sum of consecutive naturals, for example, 12817950 + ... + 12818911.

It is an arithmetic number, because the mean of its divisors is an integer number (1704851323).

Almost surely, 212331330141 is an apocalyptic number.

It is an amenable number.

12331330141 is a deficient number, since it is larger than the sum of its proper divisors (1307480443).

12331330141 is a wasteful number, since it uses less digits than its factorization.

12331330141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25636911.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12331330141 its reverse (14103313321), we get a palindrome (26434643462).

The spelling of 12331330141 in words is "twelve billion, three hundred thirty-one million, three hundred thirty thousand, one hundred forty-one".

Divisors: 1 13 37 481 25636861 333279193 948563857 12331330141