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123334112041 = 71372232412393
BaseRepresentation
bin111001011011101001…
…0010011001100101001
3102210100100220001101121
41302313102103030221
54010042013041131
6132354154015241
711624222440450
oct1626722231451
9383310801347
10123334112041
114833a988918
121baa0417521
13b826b8122a
145d80081b97
15331ca45911
hex1cb7493329

123334112041 has 32 divisors (see below), whose sum is σ = 143270443008. Its totient is φ = 103995740160.

The previous prime is 123334112017. The next prime is 123334112059. The reversal of 123334112041 is 140211433321.

It is a cyclic number.

It is not a de Polignac number, because 123334112041 - 27 = 123334111913 is a prime.

It is a super-2 number, since 2×1233341120412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123334111997 and 123334112015.

It is not an unprimeable number, because it can be changed into a prime (123334110041) 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 31 ways as a sum of consecutive naturals, for example, 51538341 + ... + 51540733.

It is an arithmetic number, because the mean of its divisors is an integer number (4477201344).

Almost surely, 2123334112041 is an apocalyptic number.

It is an amenable number.

123334112041 is a deficient number, since it is larger than the sum of its proper divisors (19936330967).

123334112041 is a wasteful number, since it uses less digits than its factorization.

123334112041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 123334112041 its reverse (140211433321), we get a palindrome (263545545362).

The spelling of 123334112041 in words is "one hundred twenty-three billion, three hundred thirty-four million, one hundred twelve thousand, forty-one".

Divisors: 1 7 137 223 241 959 1561 1687 2393 16751 30551 33017 53743 213857 231119 327841 376201 533639 576713 2294887 3735473 4036991 7362791 51539537 73108543 79009681 128606999 511759801 553067767 900248993 17619158863 123334112041