Search a number
-
+
1003100101 = 53127714821
BaseRepresentation
bin111011110010100…
…001011111000101
32120220111202122121
4323302201133011
54023243200401
6243311525541
733600132043
oct7362413705
92526452577
101003100101
11475250a53
1223bb298b1
1312ca84273
1497317393
155d0e4ca1
hex3bca17c5

1003100101 has 8 divisors (see below), whose sum is σ = 1022895864. Its totient is φ = 983336640.

The previous prime is 1003100099. The next prime is 1003100129. The reversal of 1003100101 is 1010013001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 279759076 + 723341025 = 16726^2 + 26895^2 .

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 1003100101 - 21 = 1003100099 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 (1003100171) 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, 60271 + ... + 75091.

It is an arithmetic number, because the mean of its divisors is an integer number (127861983).

Almost surely, 21003100101 is an apocalyptic number.

It is an amenable number.

1003100101 is a deficient number, since it is larger than the sum of its proper divisors (19795763).

1003100101 is a wasteful number, since it uses less digits than its factorization.

1003100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16151.

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

The square root of 1003100101 is about 31671.7555718025. The cubic root of 1003100101 is about 1001.0323009880.

Adding to 1003100101 its reverse (1010013001), we get a palindrome (2013113102).

The spelling of 1003100101 in words is "one billion, three million, one hundred thousand, one hundred one".

Divisors: 1 53 1277 14821 67681 785513 18926417 1003100101