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10345115201 is a prime number
BaseRepresentation
bin10011010001001110…
…11110111001000001
3222200222011022011212
421220213132321001
5132141322141301
64430311415505
7514235012501
oct115047367101
928628138155
1010345115201
114429603193
122008684595
13c8b353155
14701d1ba01
1540832e4bb
hex2689dee41

10345115201 has 2 divisors, whose sum is σ = 10345115202. Its totient is φ = 10345115200.

The previous prime is 10345115197. The next prime is 10345115251. The reversal of 10345115201 is 10251154301.

10345115201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9955250176 + 389865025 = 99776^2 + 19745^2 .

It is a cyclic number.

It is not a de Polignac number, because 10345115201 - 22 = 10345115197 is a prime.

It is a super-2 number, since 2×103451152012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10345115251) 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, 5172557600 + 5172557601.

It is an arithmetic number, because the mean of its divisors is an integer number (5172557601).

Almost surely, 210345115201 is an apocalyptic number.

It is an amenable number.

10345115201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10345115201 is an equidigital number, since it uses as much as digits as its factorization.

10345115201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 10345115201 its reverse (10251154301), we get a palindrome (20596269502).

The spelling of 10345115201 in words is "ten billion, three hundred forty-five million, one hundred fifteen thousand, two hundred one".