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523133043121 = 131917837118739
BaseRepresentation
bin1111001110011010010…
…10001100000110110001
31212000022001010001200101
413213031022030012301
532032334024334441
61040153552352401
752536503332633
oct7471512140661
91760261101611
10523133043121
1119194aa68157
1285478245701
133a43c94c880
141b469664a53
15d91b973231
hex79cd28c1b1

523133043121 has 16 divisors (see below), whose sum is σ = 593063553600. Its totient is φ = 457447169088.

The previous prime is 523133043109. The next prime is 523133043151. The reversal of 523133043121 is 121340331325.

It is a de Polignac number, because none of the positive numbers 2k-523133043121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 523133043121.

It is not an unprimeable number, because it can be changed into a prime (523133043151) 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 15 ways as a sum of consecutive naturals, for example, 4346370 + ... + 4465108.

It is an arithmetic number, because the mean of its divisors is an integer number (37066472100).

Almost surely, 2523133043121 is an apocalyptic number.

It is an amenable number.

523133043121 is a deficient number, since it is larger than the sum of its proper divisors (69930510479).

523133043121 is a wasteful number, since it uses less digits than its factorization.

523133043121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136608.

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 523133043121 its reverse (121340331325), we get a palindrome (644473374446).

The spelling of 523133043121 in words is "five hundred twenty-three billion, one hundred thirty-three million, forty-three thousand, one hundred twenty-one".

Divisors: 1 13 19 247 17837 118739 231881 338903 1543607 2256041 4405739 29328533 2117947543 27533318059 40241003317 523133043121