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1123412242041 = 325311320842141
BaseRepresentation
bin10000010110010000100…
…101100110111001111001
310222101201112022220002100
4100112100211212321321
5121401222013221131
62220031035054013
7144110126333655
oct20262045467171
93871645286070
101123412242041
113a3488a17a61
121618845a1309
1381c253a3c2b
143c532a25a65
151e3510917e6
hex10590966e79

1123412242041 has 24 divisors (see below), whose sum is σ = 1667954939976. Its totient is φ = 728307740160.

The previous prime is 1123412242031. The next prime is 1123412242049. The reversal of 1123412242041 is 1402422143211.

1123412242041 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 412 + 242 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 318840915600 + 804571326441 = 564660^2 + 896979^2 .

It is not a de Polignac number, because 1123412242041 - 25 = 1123412242009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1123412241996 and 1123412242014.

It is not an unprimeable number, because it can be changed into a prime (1123412242049) 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 23 ways as a sum of consecutive naturals, for example, 10367170 + ... + 10474971.

It is an arithmetic number, because the mean of its divisors is an integer number (69498122499).

Almost surely, 21123412242041 is an apocalyptic number.

It is an amenable number.

1123412242041 is a deficient number, since it is larger than the sum of its proper divisors (544542697935).

1123412242041 is a wasteful number, since it uses less digits than its factorization.

1123412242041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20842313 (or 20842310 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1123412242041 its reverse (1402422143211), we get a palindrome (2525834385252).

The spelling of 1123412242041 in words is "one trillion, one hundred twenty-three billion, four hundred twelve million, two hundred forty-two thousand, forty-one".

Divisors: 1 3 9 53 113 159 339 477 1017 5989 17967 53901 20842141 62526423 187579269 1104633473 2355161933 3313900419 7065485799 9941701257 21196457397 124823582449 374470747347 1123412242041