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12303312093 = 3297123711393
BaseRepresentation
bin10110111010101010…
…11010010011011101
31011202102212000022200
423131111122103131
5200144121441333
65352502402113
7613613266362
oct133525322335
934672760280
1012303312093
115243998526
122474430339
131210c52037
1484a014469
154c01d5c13
hex2dd55a4dd

12303312093 has 24 divisors (see below), whose sum is σ = 17970753528. Its totient is φ = 8110374912.

The previous prime is 12303312061. The next prime is 12303312121. The reversal of 12303312093 is 39021330321.

12303312093 is a `hidden beast` number, since 123 + 0 + 331 + 209 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4251300804 + 8052011289 = 65202^2 + 89733^2 .

It is not a de Polignac number, because 12303312093 - 25 = 12303312061 is a prime.

It is a super-3 number, since 3×123033120933 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303310093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1074205 + ... + 1085597.

It is an arithmetic number, because the mean of its divisors is an integer number (748781397).

Almost surely, 212303312093 is an apocalyptic number.

It is an amenable number.

12303312093 is a deficient number, since it is larger than the sum of its proper divisors (5667441435).

12303312093 is a wasteful number, since it uses less digits than its factorization.

12303312093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12733 (or 12730 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 12303312093 in words is "twelve billion, three hundred three million, three hundred twelve thousand, ninety-three".

Divisors: 1 3 9 97 291 873 1237 3711 11133 11393 34179 102537 119989 359967 1079901 1105121 3315363 9946089 14093141 42279423 126838269 1367034677 4101104031 12303312093