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10000312369 is a prime number
BaseRepresentation
bin10010101000001000…
…01010100000110001
3221210221100111121121
421110010022200301
5130440034443434
64332153222241
7502550152435
oct112404124061
927727314547
1010000312369
114271a08773
121b31101981
13c34a996c8
146ac2049c5
153d7e207b4
hex25410a831

10000312369 has 2 divisors, whose sum is σ = 10000312370. Its totient is φ = 10000312368.

The previous prime is 10000312363. The next prime is 10000312433. The reversal of 10000312369 is 96321300001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8443220769 + 1557091600 = 91887^2 + 39460^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000312369 - 27 = 10000312241 is a prime.

It is a super-2 number, since 2×100003123692 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10000312363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000156184 + 5000156185.

It is an arithmetic number, because the mean of its divisors is an integer number (5000156185).

Almost surely, 210000312369 is an apocalyptic number.

It is an amenable number.

10000312369 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000312369 is an equidigital number, since it uses as much as digits as its factorization.

10000312369 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.

The spelling of 10000312369 in words is "ten billion, three hundred twelve thousand, three hundred sixty-nine".