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10345040989 is a prime number
BaseRepresentation
bin10011010001001110…
…01100110001011101
3222200222000112101021
421220213030301131
5132141312302424
64430310044141
7514234253233
oct115047146135
928628015337
1010345040989
114429562458
122008649651
13c8b32843a
14701cdc953
154083174e4
hex2689ccc5d

10345040989 has 2 divisors, whose sum is σ = 10345040990. Its totient is φ = 10345040988.

The previous prime is 10345040933. The next prime is 10345041001. The reversal of 10345040989 is 98904054301.

It is a happy number.

10345040989 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., 8202924900 + 2142116089 = 90570^2 + 46283^2 .

It is a cyclic number.

It is not a de Polignac number, because 10345040989 - 29 = 10345040477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10345041989) 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, 5172520494 + 5172520495.

It is an arithmetic number, because the mean of its divisors is an integer number (5172520495).

Almost surely, 210345040989 is an apocalyptic number.

It is an amenable number.

10345040989 is a deficient number, since it is larger than the sum of its proper divisors (1).

10345040989 is an equidigital number, since it uses as much as digits as its factorization.

10345040989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 10345040989 in words is "ten billion, three hundred forty-five million, forty thousand, nine hundred eighty-nine".