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12301041442131 = 32132573671114697
BaseRepresentation
bin1011001100000000111100…
…1101001001110101010011
31121112222010201122212120100
42303000033031021311103
53103020013102122011
642055004224543443
72406502163031321
oct263001715116523
947488121585510
1012301041442131
113a1292a22aa82
121468035a81b83
136b2ca2208730
14307533178d11
15164ea1c49d56
hexb300f349d53

12301041442131 has 48 divisors (see below), whose sum is σ = 19261767417984. Its totient is φ = 7519864061952.

The previous prime is 12301041442127. The next prime is 12301041442153. The reversal of 12301041442131 is 13124414010321.

It is a happy number.

12301041442131 is a `hidden beast` number, since 1 + 2 + 30 + 1 + 0 + 414 + 4 + 213 + 1 = 666.

It is not a de Polignac number, because 12301041442131 - 22 = 12301041442127 is a prime.

It is a super-2 number, since 2×123010414421312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12301041442095 and 12301041442104.

It is not an unprimeable number, because it can be changed into a prime (12301041442121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10477975 + ... + 11592671.

It is an arithmetic number, because the mean of its divisors is an integer number (401286821208).

Almost surely, 212301041442131 is an apocalyptic number.

12301041442131 is a deficient number, since it is larger than the sum of its proper divisors (6960725975853).

12301041442131 is a wasteful number, since it uses less digits than its factorization.

12301041442131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115340 (or 1115337 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12301041442131 its reverse (13124414010321), we get a palindrome (25425455452452).

The spelling of 12301041442131 in words is "twelve trillion, three hundred one billion, forty-one million, four hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 117 257 367 771 1101 2313 3303 3341 4771 10023 14313 30069 42939 94319 282957 848871 1114697 1226147 3344091 3678441 10032273 11035323 14491061 43473183 130419549 286477129 409093799 859431387 1227281397 2578294161 3681844191 3724202677 5318219387 11172608031 15954658161 33517824093 47863974483 105137106343 315411319029 946233957087 1366782382459 4100347147377 12301041442131