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12135044151 = 323448739097
BaseRepresentation
bin10110100110100111…
…00001010000110111
31011022201020010002200
423103103201100313
5144323032403101
65324052035543
7606501113316
oct132323412067
934281203080
1012135044151
115167a0930a
122428002bb3
1311b51281c9
1483193227d
154b0548986
hex2d34e1437

12135044151 has 12 divisors (see below), whose sum is σ = 17529353712. Its totient is φ = 8089587936.

The previous prime is 12135044083. The next prime is 12135044219. The reversal of 12135044151 is 15144053121.

12135044151 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 504 + 4 + 151 = 666.

12135044151 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12135044083) and next prime (12135044219).

It is not a de Polignac number, because 12135044151 - 213 = 12135035959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135044851) 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 11 ways as a sum of consecutive naturals, for example, 290835 + ... + 329931.

It is an arithmetic number, because the mean of its divisors is an integer number (1460779476).

Almost surely, 212135044151 is an apocalyptic number.

12135044151 is a deficient number, since it is larger than the sum of its proper divisors (5394309561).

12135044151 is a wasteful number, since it uses less digits than its factorization.

12135044151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73590 (or 73587 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 12135044151 its reverse (15144053121), we get a palindrome (27279097272).

The spelling of 12135044151 in words is "twelve billion, one hundred thirty-five million, forty-four thousand, one hundred fifty-one".

Divisors: 1 3 9 34487 39097 103461 117291 310383 351873 1348338239 4045014717 12135044151