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12302123301 = 32132731011097
BaseRepresentation
bin10110111010100001…
…11000000100100101
31011202100121121121100
423131100320010211
5200143320421201
65352421110313
7613600215456
oct133520700445
934670547540
1012302123301
115243256356
122473b58399
131210926c00
14849bc512d
154c004d886
hex2dd438125

12302123301 has 72 divisors (see below), whose sum is σ = 19716447816. Its totient is φ = 7386163200.

The previous prime is 12302123293. The next prime is 12302123311. The reversal of 12302123301 is 10332120321.

12302123301 is a `hidden beast` number, since 123 + 0 + 212 + 330 + 1 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3558003201 + 8744120100 = 59649^2 + 93510^2 .

It is not a de Polignac number, because 12302123301 - 23 = 12302123293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302123311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11213785 + ... + 11214881.

It is an arithmetic number, because the mean of its divisors is an integer number (273839553).

Almost surely, 212302123301 is an apocalyptic number.

It is an amenable number.

12302123301 is a deficient number, since it is larger than the sum of its proper divisors (7414324515).

12302123301 is a wasteful number, since it uses less digits than its factorization.

12302123301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12302123301 its reverse (10332120321), we get a palindrome (22634243622).

The spelling of 12302123301 in words is "twelve billion, three hundred two million, one hundred twenty-three thousand, three hundred one".

Divisors: 1 3 9 13 39 73 101 117 169 219 303 507 657 909 949 1097 1313 1521 2847 3291 3939 7373 8541 9873 11817 12337 14261 17069 22119 37011 42783 51207 66357 80081 95849 110797 111033 128349 153621 185393 240243 287547 332391 556179 720729 862641 997173 1041053 1246037 1440361 1668537 3123159 3738111 4321083 8088181 9369477 11214333 12963249 13533689 18724693 24264543 40601067 56174079 72793629 105146353 121803201 168522237 315439059 946317177 1366902589 4100707767 12302123301