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31233513029 is a prime number
BaseRepresentation
bin11101000101101010…
…011001011001000101
32222121201100212010212
4131011222121121011
51002431234404104
622203134325205
72153665323515
oct350552313105
988551325125
1031233513029
111227855a694
126078059805
132c39ac1574
1417241bd845
15c2c08436e
hex745a99645

31233513029 has 2 divisors, whose sum is σ = 31233513030. Its totient is φ = 31233513028.

The previous prime is 31233513013. The next prime is 31233513083. The reversal of 31233513029 is 92031533213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21208096900 + 10025416129 = 145630^2 + 100127^2 .

It is an emirp because it is prime and its reverse (92031533213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31233513029 - 24 = 31233513013 is a prime.

It is a super-2 number, since 2×312335130292 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31233512986 and 31233513004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31233513089) 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 as a sum of consecutive naturals, namely, 15616756514 + 15616756515.

It is an arithmetic number, because the mean of its divisors is an integer number (15616756515).

Almost surely, 231233513029 is an apocalyptic number.

It is an amenable number.

31233513029 is a deficient number, since it is larger than the sum of its proper divisors (1).

31233513029 is an equidigital number, since it uses as much as digits as its factorization.

31233513029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 32.

The spelling of 31233513029 in words is "thirty-one billion, two hundred thirty-three million, five hundred thirteen thousand, twenty-nine".