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10297206601 = 112531605677
BaseRepresentation
bin10011001011100001…
…01110011101001001
3222120122000021221021
421211300232131021
5132042041102401
64421440512441
7513113545333
oct114560563511
928518007837
1010297206601
114404560800
121bb461b721
13c8144a976
146d980a453
154040192a1
hex265c2e749

10297206601 has 12 divisors (see below), whose sum is σ = 11531979396. Its totient is φ = 9184466720.

The previous prime is 10297206599. The next prime is 10297206637. The reversal of 10297206601 is 10660279201.

10297206601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7439235001 + 2857971600 = 86251^2 + 53460^2 .

It is not a de Polignac number, because 10297206601 - 21 = 10297206599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10297206691) 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 in 11 ways as a sum of consecutive naturals, for example, 796426 + ... + 809251.

It is an arithmetic number, because the mean of its divisors is an integer number (960998283).

Almost surely, 210297206601 is an apocalyptic number.

10297206601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10297206601 is a deficient number, since it is larger than the sum of its proper divisors (1234772795).

10297206601 is a wasteful number, since it uses less digits than its factorization.

10297206601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605752 (or 1605741 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 10297206601 in words is "ten billion, two hundred ninety-seven million, two hundred six thousand, six hundred one".

Divisors: 1 11 53 121 583 6413 1605677 17662447 85100881 194286917 936109691 10297206601