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12386106347100 = 2235241287021157
BaseRepresentation
bin1011010000111101110101…
…1110000000111001011100
31121212002201001021210000020
42310033131132000321130
53110413221211101400
642202033153032140
72415603155553603
oct264173536007134
947762631253006
1012386106347100
113a45a11145132
121480615b55650
136bb00a775825
1430b6c286ca3a
151672cebe12a0
hexb43dd780e5c

12386106347100 has 36 divisors (see below), whose sum is σ = 35837134365144. Its totient is φ = 3302961692480.

The previous prime is 12386106347029. The next prime is 12386106347107. The reversal of 12386106347100 is 174360168321.

It is a happy number.

It is a super-3 number, since 3×123861063471003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12386106347107) 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 11 ways as a sum of consecutive naturals, for example, 20643510279 + ... + 20643510878.

Almost surely, 212386106347100 is an apocalyptic number.

12386106347100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12386106347100 is an abundant number, since it is smaller than the sum of its proper divisors (23451028018044).

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

12386106347100 is a wasteful number, since it uses less digits than its factorization.

12386106347100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41287021174 (or 41287021167 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 12386106347100 in words is "twelve trillion, three hundred eighty-six billion, one hundred six million, three hundred forty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 41287021157 82574042314 123861063471 165148084628 206435105785 247722126942 412870211570 495444253884 619305317355 825740423140 1032175528925 1238610634710 2064351057850 2477221269420 3096526586775 4128702115700 6193053173550 12386106347100