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101313000301 = 17223237711243
BaseRepresentation
bin101111001011010111…
…0011011001101101101
3100200111200021200001111
41132112232123031231
53124442112002201
6114313105112021
710214426202502
oct1362656331555
9320450250044
10101313000301
1139a6a602717
1217775628611
139727849ab6
144c915a74a9
15297e646b51
hex1796b9b36d

101313000301 has 16 divisors (see below), whose sum is σ = 107808551424. Its totient is φ = 94877443584.

The previous prime is 101313000293. The next prime is 101313000329. The reversal of 101313000301 is 103000313101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101313000301 - 23 = 101313000293 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 (101313000361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9005586 + ... + 9016828.

It is an arithmetic number, because the mean of its divisors is an integer number (6738034464).

Almost surely, 2101313000301 is an apocalyptic number.

It is an amenable number.

101313000301 is a deficient number, since it is larger than the sum of its proper divisors (6495551123).

101313000301 is a wasteful number, since it uses less digits than its factorization.

101313000301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13860.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 101313000301 its reverse (103000313101), we get a palindrome (204313313402).

The spelling of 101313000301 in words is "one hundred one billion, three hundred thirteen million, three hundred one", and thus it is an aban number.

Divisors: 1 17 223 2377 3791 11243 40409 191131 530071 2507189 9011207 26724611 42622213 454318387 5959588253 101313000301