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12301330302 = 233736614721
BaseRepresentation
bin10110111010011011…
…10110011101111110
31011202022010022211000
423131031312131332
5200143120032202
65352352111130
7613560403512
oct133515663576
934668108730
1012301330302
115242864588
1224738354a6
131210709c91
14849a5a142
154bee4391c
hex2dd37677e

12301330302 has 64 divisors (see below), whose sum is σ = 27758560320. Its totient is φ = 4037299200.

The previous prime is 12301330291. The next prime is 12301330309. The reversal of 12301330302 is 20303310321.

12301330302 is a `hidden beast` number, since 1 + 2 + 30 + 1 + 330 + 302 = 666.

It is a super-2 number, since 2×123013303022 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301330309) 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 31 ways as a sum of consecutive naturals, for example, 2603302 + ... + 2608022.

It is an arithmetic number, because the mean of its divisors is an integer number (433727505).

Almost surely, 212301330302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12301330302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13879280160).

12301330302 is an abundant number, since it is smaller than the sum of its proper divisors (15457230018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12301330302 is a wasteful number, since it uses less digits than its factorization.

12301330302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12301330302 its reverse (20303310321), we get a palindrome (32604640623).

The spelling of 12301330302 in words is "twelve billion, three hundred one million, three hundred thirty thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 657 661 1314 1322 1971 1983 3942 3966 4721 5949 9442 11898 14163 17847 28326 35694 42489 48253 84978 96506 127467 144759 254934 289518 344633 434277 689266 868554 1033899 1302831 2067798 2605662 3101697 3120581 6203394 6241162 9305091 9361743 18610182 18723486 28085229 56170458 84255687 168511374 227802413 455604826 683407239 1366814478 2050221717 4100443434 6150665151 12301330302