Search a number
-
+
100030100301 = 3211114455589
BaseRepresentation
bin101110100101001000…
…0100011001101001101
3100120012021021121002200
41131022100203031031
53114330201202201
6113541520112113
710140560552325
oct1351220431515
9316167247080
10100030100301
113947142498a
1217477a65639
139581b1b281
144bad058285
152906bd3386
hex174a42334d

100030100301 has 6 divisors (see below), whose sum is σ = 144487922670. Its totient is φ = 66686733528.

The previous prime is 100030100297. The next prime is 100030100309. The reversal of 100030100301 is 103001030001.

It can be written as a sum of positive squares in only one way, i.e., 100029875625 + 224676 = 316275^2 + 474^2 .

It is not a de Polignac number, because 100030100301 - 22 = 100030100297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11114455589 = 100030100301 / (1 + 0 + 0 + 0 + 3 + 0 + 1 + 0 + 0 + 3 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100030100309) 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 5 ways as a sum of consecutive naturals, for example, 5557227786 + ... + 5557227803.

It is an arithmetic number, because the mean of its divisors is an integer number (24081320445).

Almost surely, 2100030100301 is an apocalyptic number.

It is an amenable number.

100030100301 is a deficient number, since it is larger than the sum of its proper divisors (44457822369).

100030100301 is a wasteful number, since it uses less digits than its factorization.

100030100301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11114455595 (or 11114455592 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 100030100301 its reverse (103001030001), we get a palindrome (203031130302).

The spelling of 100030100301 in words is "one hundred billion, thirty million, one hundred thousand, three hundred one".

Divisors: 1 3 9 11114455589 33343366767 100030100301