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12320010322101 = 3210212014966541
BaseRepresentation
bin1011001101000111100111…
…0101101100000010110101
31121121210002200221211001100
42303101321311230002311
53103322340120301401
642111422401520313
72411043224612346
oct263217165540265
947553080854040
1012320010322101
113a1a983710289
12146b84a643099
136b4a0609b471
143084125320cd
151657121d8b86
hexb3479d6c0b5

12320010322101 has 24 divisors (see below), whose sum is σ = 17814151791800. Its totient is φ = 8204765270400.

The previous prime is 12320010322099. The next prime is 12320010322111. The reversal of 12320010322101 is 10122301002321.

12320010322101 is a `hidden beast` number, since 1 + 2 + 320 + 0 + 10 + 322 + 10 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4285421655876 + 8034588666225 = 2070126^2 + 2834535^2 .

It is not a de Polignac number, because 12320010322101 - 21 = 12320010322099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320010322111) 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, 185115891 + ... + 185182431.

Almost surely, 212320010322101 is an apocalyptic number.

It is an amenable number.

12320010322101 is a deficient number, since it is larger than the sum of its proper divisors (5494141469699).

12320010322101 is a wasteful number, since it uses less digits than its factorization.

12320010322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87717 (or 87714 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12320010322101 its reverse (10122301002321), we get a palindrome (22442311324422).

The spelling of 12320010322101 in words is "twelve trillion, three hundred twenty billion, ten million, three hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 1021 3063 9189 20149 60447 66541 181341 199623 598869 20572129 61716387 67938361 185149161 203815083 611445249 1340734609 4022203827 12066611481 1368890035789 4106670107367 12320010322101