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10312031293 is a prime number
BaseRepresentation
bin10011001101010010…
…10001110000111101
3222121122220110120221
421212221101300331
5132104340000133
64423130341341
7513353551114
oct114651216075
928548813527
1010312031293
114411966813
121bb958a851
13c8453b585
146db788c7b
15405496a2d
hex266a51c3d

10312031293 has 2 divisors, whose sum is σ = 10312031294. Its totient is φ = 10312031292.

The previous prime is 10312031179. The next prime is 10312031299. The reversal of 10312031293 is 39213021301.

10312031293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8268810489 + 2043220804 = 90933^2 + 45202^2 .

It is a cyclic number.

It is not a de Polignac number, because 10312031293 - 213 = 10312023101 is a prime.

It is a super-2 number, since 2×103120312932 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10312031299) 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, 5156015646 + 5156015647.

It is an arithmetic number, because the mean of its divisors is an integer number (5156015647).

Almost surely, 210312031293 is an apocalyptic number.

It is an amenable number.

10312031293 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312031293 is an equidigital number, since it uses as much as digits as its factorization.

10312031293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 10312031293 its reverse (39213021301), we get a palindrome (49525052594).

The spelling of 10312031293 in words is "ten billion, three hundred twelve million, thirty-one thousand, two hundred ninety-three".