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10101313301 = 531491279133
BaseRepresentation
bin10010110100001010…
…11100111100010101
3222001222101212211212
421122011130330111
5131141414011201
64350202111205
7505214514002
oct113205347425
928058355755
1010101313301
114313a23212
121b5aaab505
13c4c9a0981
146bb7b68a9
153e1c21abb
hex25a15cf15

10101313301 has 8 divisors (see below), whose sum is σ = 10360985400. Its totient is φ = 9844199872.

The previous prime is 10101313267. The next prime is 10101313333. The reversal of 10101313301 is 10331310101.

It is a happy number.

10101313301 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 4 ways, for example, as 32194276 + 10069119025 = 5674^2 + 100345^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10101313301 - 26 = 10101313237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101313381) 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 7 ways as a sum of consecutive naturals, for example, 631670 + ... + 647463.

It is an arithmetic number, because the mean of its divisors is an integer number (1295123175).

Almost surely, 210101313301 is an apocalyptic number.

It is an amenable number.

10101313301 is a deficient number, since it is larger than the sum of its proper divisors (259672099).

10101313301 is a wasteful number, since it uses less digits than its factorization.

10101313301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279335.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10101313301 its reverse (10331310101), we get a palindrome (20432623402).

The spelling of 10101313301 in words is "ten billion, one hundred one million, three hundred thirteen thousand, three hundred one".

Divisors: 1 53 149 7897 1279133 67794049 190590817 10101313301