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10312000997 is a prime number
BaseRepresentation
bin10011001101010010…
…01010010111100101
3222121122211221000212
421212221022113211
5132104333012442
64423125545205
7513353363564
oct114651122745
928548757025
1010312000997
114411945a81
121bb9575205
13c8452a84c
146db77bbdb
1540548ca82
hex266a4a5e5

10312000997 has 2 divisors, whose sum is σ = 10312000998. Its totient is φ = 10312000996.

The previous prime is 10312000969. The next prime is 10312001009. The reversal of 10312000997 is 79900021301.

It is a happy number.

10312000997 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., 10311590116 + 410881 = 101546^2 + 641^2 .

It is a cyclic number.

It is not a de Polignac number, because 10312000997 - 222 = 10307806693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10312000957) 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, 5156000498 + 5156000499.

It is an arithmetic number, because the mean of its divisors is an integer number (5156000499).

Almost surely, 210312000997 is an apocalyptic number.

It is an amenable number.

10312000997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312000997 is an equidigital number, since it uses as much as digits as its factorization.

10312000997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 32.

The spelling of 10312000997 in words is "ten billion, three hundred twelve million, nine hundred ninety-seven", and thus it is an aban number.