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12301254135 = 35510124489
BaseRepresentation
bin10110111010011011…
…00011110111110111
31011202021222110100000
423131031203313313
5200143110113020
65352350322343
7613556635452
oct133515436767
934667873300
1012301254135
115242812335
1224737b93b3
1312106b1401
14849a3a499
154bee2b090
hex2dd363df7

12301254135 has 24 divisors (see below), whose sum is σ = 22111886160. Its totient is φ = 6560668224.

The previous prime is 12301254101. The next prime is 12301254137. The reversal of 12301254135 is 53145210321.

12301254135 is a `hidden beast` number, since 1 + 230 + 12 + 5 + 413 + 5 = 666.

It is not a de Polignac number, because 12301254135 - 211 = 12301252087 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12301254099 and 12301254108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301254137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5061030 + ... + 5063459.

It is an arithmetic number, because the mean of its divisors is an integer number (921328590).

Almost surely, 212301254135 is an apocalyptic number.

12301254135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12301254135 is a deficient number, since it is larger than the sum of its proper divisors (9810632025).

12301254135 is an equidigital number, since it uses as much as digits as its factorization.

12301254135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10124509 (or 10124497 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 12301254135 its reverse (53145210321), we get a palindrome (65446464456).

It can be divided in two parts, 123012 and 54135, that added together give a 11-th power (177147 = 311).

The spelling of 12301254135 in words is "twelve billion, three hundred one million, two hundred fifty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 1215 10124489 30373467 50622445 91120401 151867335 273361203 455602005 820083609 1366806015 2460250827 4100418045 12301254135