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114203103320331 = 3279990716213103
BaseRepresentation
bin11001111101110111111011…
…011001111101100100001011
3112222100201011121222011201200
4121331313323121331210023
5104432100423422222311
61042520103102515243
733024621235334064
oct3175677331754413
9488321147864650
10114203103320331
113343029a612503
12109853b0295b23
134b953ca30747c
14202b66158156b
15d30a412e4556
hex67ddfb67d90b

114203103320331 has 24 divisors (see below), whose sum is σ = 167065011809280. Its totient is φ = 75164070576816.

The previous prime is 114203103320311. The next prime is 114203103320353. The reversal of 114203103320331 is 133023301302411.

114203103320331 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 0 + 3 + 1 + 0 + 3 + 320 + 331 = 666.

It is not a de Polignac number, because 114203103320331 - 215 = 114203103287563 is a prime.

It is a super-2 number, since 2×1142031033203312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114203103320295 and 114203103320304.

It is not an unprimeable number, because it can be changed into a prime (114203103320311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1062675 + ... + 15150428.

It is an arithmetic number, because the mean of its divisors is an integer number (6961042158720).

Almost surely, 2114203103320331 is an apocalyptic number.

114203103320331 is a deficient number, since it is larger than the sum of its proper divisors (52861908488949).

114203103320331 is a wasteful number, since it uses less digits than its factorization.

114203103320331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16223095 (or 16223092 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 114203103320331 its reverse (133023301302411), we get a palindrome (247226404622742).

The spelling of 114203103320331 in words is "one hundred fourteen trillion, two hundred three billion, one hundred three million, three hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 9 79 237 711 9907 29721 89163 782653 2347959 7043877 16213103 48639309 145917927 1280835137 3842505411 11527516233 160623211421 481869634263 1445608902789 12689233702259 38067701106777 114203103320331