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12303114012 = 2232748821881
BaseRepresentation
bin10110111010101001…
…01001111100011100
31011202102110221121100
423131110221330130
5200144044122022
65352454233100
7613611513030
oct133524517434
934672427540
1012303114012
115243872722
122474355790
131210bb2b27
14849da21c0
154c01971ac
hex2dd529f1c

12303114012 has 36 divisors (see below), whose sum is σ = 35542330096. Its totient is φ = 3515175360.

The previous prime is 12303114007. The next prime is 12303114017. The reversal of 12303114012 is 21041130321.

12303114012 is a `hidden beast` number, since 1 + 230 + 31 + 1 + 401 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12303114007) and next prime (12303114017).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×123031140122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303114017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24410689 + ... + 24411192.

Almost surely, 212303114012 is an apocalyptic number.

12303114012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12303114012 is an abundant number, since it is smaller than the sum of its proper divisors (23239216084).

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

12303114012 is a wasteful number, since it uses less digits than its factorization.

12303114012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48821898 (or 48821893 counting only the distinct ones).

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

Adding to 12303114012 its reverse (21041130321), we get a palindrome (33344244333).

The spelling of 12303114012 in words is "twelve billion, three hundred three million, one hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 48821881 97643762 146465643 195287524 292931286 341753167 439396929 585862572 683506334 878793858 1025259501 1367012668 1757587716 2050519002 3075778503 4101038004 6151557006 12303114012