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100020000201 = 3113030909097
BaseRepresentation
bin101110100100110101…
…0000001010111001001
3100120011120021110100220
41131021222001113021
53114320110001301
6113540515420253
710140405655062
oct1351152012711
9316146243326
10100020000201
11394667565a0
12174745b4689
13957c9c2c94
144bab989569
152905d8a936
hex1749a815c9

100020000201 has 8 divisors (see below), whose sum is σ = 145483636704. Its totient is φ = 60618181920.

The previous prime is 100020000193. The next prime is 100020000209. The reversal of 100020000201 is 102000020001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100020000193) and next prime (100020000209).

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

It is not a de Polignac number, because 100020000201 - 23 = 100020000193 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100020000201.

It is not an unprimeable number, because it can be changed into a prime (100020000209) 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, 1515454516 + ... + 1515454581.

It is an arithmetic number, because the mean of its divisors is an integer number (18185454588).

Almost surely, 2100020000201 is an apocalyptic number.

100020000201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100020000201 is a deficient number, since it is larger than the sum of its proper divisors (45463636503).

100020000201 is a wasteful number, since it uses less digits than its factorization.

100020000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030909111.

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 100020000201 its reverse (102000020001), we get a palindrome (202020020202).

The spelling of 100020000201 in words is "one hundred billion, twenty million, two hundred one", and thus it is an aban number.

Divisors: 1 3 11 33 3030909097 9092727291 33340000067 100020000201