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1242312312033 = 321310618053949
BaseRepresentation
bin10010000100111111100…
…101011000010011100001
311101202121212210021021100
4102010333211120103201
5130323223422441113
62350413240145013
7155516441264232
oct22047745302341
94352555707240
101242312312033
11439952a05411
12180927a68169
13901c3733430
14441b1c4b089
15224ae6c6d73
hex1213f9584e1

1242312312033 has 12 divisors (see below), whose sum is σ = 1932485818900. Its totient is φ = 764499884256.

The previous prime is 1242312312029. The next prime is 1242312312077. The reversal of 1242312312033 is 3302132132421.

1242312312033 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 312 + 312 + 0 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 350171613009 + 892140699024 = 591753^2 + 944532^2 .

It is not a de Polignac number, because 1242312312033 - 22 = 1242312312029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1242312311988 and 1242312312006.

It is not an unprimeable number, because it can be changed into a prime (1242312312083) 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, 5309026858 + ... + 5309027091.

Almost surely, 21242312312033 is an apocalyptic number.

1242312312033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1242312312033 is a deficient number, since it is larger than the sum of its proper divisors (690173506867).

1242312312033 is a wasteful number, since it uses less digits than its factorization.

1242312312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618053968 (or 10618053965 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1242312312033 its reverse (3302132132421), we get a palindrome (4544444444454).

The spelling of 1242312312033 in words is "one trillion, two hundred forty-two billion, three hundred twelve million, three hundred twelve thousand, thirty-three".

Divisors: 1 3 9 13 39 117 10618053949 31854161847 95562485541 138034701337 414104104011 1242312312033