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12445031331 = 321934492
BaseRepresentation
bin10111001011100100…
…00001101110100011
31012010022112002120100
423211302001232203
5200441412000311
65414524113443
7620254010115
oct134562015643
935108462510
1012445031331
115306994267
1224b3995883
131234411a85
14860b853b5
154cc87ba56
hex2e5c81ba3

12445031331 has 36 divisors (see below), whose sum is σ = 19017040120. Its totient is φ = 7842514176.

The previous prime is 12445031311. The next prime is 12445031381. The reversal of 12445031331 is 13313054421.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12445031331 is a `hidden beast` number, since 1 + 24 + 4 + 503 + 133 + 1 = 666.

12445031331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12445031331 - 26 = 12445031267 is a prime.

It is a super-2 number, since 2×124450313312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12445031295 and 12445031304.

It is not an unprimeable number, because it can be changed into a prime (12445031311) 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 35 ways as a sum of consecutive naturals, for example, 27716995 + ... + 27717443.

Almost surely, 212445031331 is an apocalyptic number.

12445031331 is a deficient number, since it is larger than the sum of its proper divisors (6572008789).

12445031331 is an frugal number, since it uses more digits than its factorization.

12445031331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 12445031331 its reverse (13313054421), we get a palindrome (25758085752).

The spelling of 12445031331 in words is "twelve billion, four hundred forty-five million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 19 57 171 361 449 1083 1347 3249 4041 6859 8531 20577 25593 61731 76779 162089 201601 486267 604803 1458801 1814409 3079691 3830419 9239073 11491257 27717219 34473771 72777961 218333883 655001649 1382781259 4148343777 12445031331