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13123143033 = 37111314932927
BaseRepresentation
bin11000011100011001…
…10100010101111001
31020212120111201221120
430032030310111321
5203334011034113
610010110255453
7643126606140
oct141614642571
936776451846
1013123143033
115624743660
122662ab7589
131311a593c0
148c6c62757
1551c178a23
hex30e334579

13123143033 has 64 divisors (see below), whose sum is σ = 23516946432. Its totient is φ = 6286452480.

The previous prime is 13123143029. The next prime is 13123143037. The reversal of 13123143033 is 33034132131.

It is a happy number.

13123143033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13123143029) and next prime (13123143037).

It is not a de Polignac number, because 13123143033 - 22 = 13123143029 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13123142994 and 13123143012.

It is not an unprimeable number, because it can be changed into a prime (13123143037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4482016 + ... + 4484942.

It is an arithmetic number, because the mean of its divisors is an integer number (367452288).

Almost surely, 213123143033 is an apocalyptic number.

13123143033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13123143033 is a deficient number, since it is larger than the sum of its proper divisors (10393803399).

13123143033 is a wasteful number, since it uses less digits than its factorization.

13123143033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13123143033 its reverse (33034132131), we get a palindrome (46157275164).

The spelling of 13123143033 in words is "thirteen billion, one hundred twenty-three million, one hundred forty-three thousand, thirty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 1493 2927 3003 4479 8781 10451 16423 19409 20489 31353 32197 38051 49269 58227 61467 96591 114153 114961 135863 213499 225379 266357 344883 407589 418561 640497 676137 799071 1255683 1494493 2929927 4370011 4483479 8789781 13110033 30590077 48070121 56810143 91770231 144210363 170430429 336490847 397671001 624911573 1009472541 1193013003 1874734719 4374381011 13123143033