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1300010101 = 13611639357
BaseRepresentation
bin100110101111100…
…1001010001110101
310100121012100121021
41031133021101311
510130300310401
6332555421141
744133621625
oct11537112165
93317170537
101300010101
11607904915
123034547b1
1317943c760
14c4924885
15791e32a1
hex4d7c9475

1300010101 has 8 divisors (see below), whose sum is σ = 1422962744. Its totient is φ = 1180336320.

The previous prime is 1300010069. The next prime is 1300010123. The reversal of 1300010101 is 1010100031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39050001 + 1260960100 = 6249^2 + 35510^2 .

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 1300010101 - 25 = 1300010069 is a prime.

It is a Duffinian number.

1300010101 is a modest number, since divided by 10101 gives 1300 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300010401) 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, 818886 + ... + 820471.

It is an arithmetic number, because the mean of its divisors is an integer number (177870343).

Almost surely, 21300010101 is an apocalyptic number.

It is an amenable number.

1300010101 is a deficient number, since it is larger than the sum of its proper divisors (122952643).

1300010101 is a wasteful number, since it uses less digits than its factorization.

1300010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639431.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 1300010101 is about 36055.6528300348. The cubic root of 1300010101 is about 1091.3957097614.

Adding to 1300010101 its reverse (1010100031), we get a palindrome (2310110132).

The spelling of 1300010101 in words is "one billion, three hundred million, ten thousand, one hundred one".

Divisors: 1 13 61 793 1639357 21311641 100000777 1300010101