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10340100289 is a prime number
BaseRepresentation
bin10011010000101000…
…10110100011000001
3222200121201112000101
421220110112203001
5132134031202124
64430012122401
7514144254661
oct115024264301
928617645011
1010340100289
114426798432
122006a66401
13c8a2b864c
147013b41a1
15407b8d644
hex2685168c1

10340100289 has 2 divisors, whose sum is σ = 10340100290. Its totient is φ = 10340100288.

The previous prime is 10340100263. The next prime is 10340100299. The reversal of 10340100289 is 98200104301.

It is a happy number.

10340100289 is digitally balanced in base 3, 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., 6493619889 + 3846480400 = 80583^2 + 62020^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10340100289 is a prime.

It is not a weakly prime, because it can be changed into another prime (10340100259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5170050144 + 5170050145.

It is an arithmetic number, because the mean of its divisors is an integer number (5170050145).

Almost surely, 210340100289 is an apocalyptic number.

It is an amenable number.

10340100289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10340100289 is an equidigital number, since it uses as much as digits as its factorization.

10340100289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 10340100289 in words is "ten billion, three hundred forty million, one hundred thousand, two hundred eighty-nine".