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2100324341033 = 172914935338093
BaseRepresentation
bin11110100100000101000…
…101100001010100101001
321102210022012210102110122
4132210011011201110221
5233402431012403113
64244513051453025
7304512665222162
oct36440505412451
97383265712418
102100324341033
1173a819376126
1229b082457175
131230a1314b89
1473928a1c769
153997a933408
hex1e905161529

2100324341033 has 32 divisors (see below), whose sum is σ = 2316939876000. Its totient is φ = 1895030910976.

The previous prime is 2100324341009. The next prime is 2100324341041. The reversal of 2100324341033 is 3301434230012.

It can be written as a sum of positive squares in 16 ways, for example, as 195184589209 + 1905139751824 = 441797^2 + 1380268^2 .

It is not a de Polignac number, because 2100324341033 - 26 = 2100324340969 is a prime.

It is a super-2 number, since 2×21003243410332 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100324340993 and 2100324341011.

It is not an unprimeable number, because it can be changed into a prime (2100324341933) 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 31 ways as a sum of consecutive naturals, for example, 259519535 + ... + 259527627.

It is an arithmetic number, because the mean of its divisors is an integer number (72404371125).

Almost surely, 22100324341033 is an apocalyptic number.

It is an amenable number.

2100324341033 is a deficient number, since it is larger than the sum of its proper divisors (216615534967).

2100324341033 is a wasteful number, since it uses less digits than its factorization.

2100324341033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11821.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 2100324341033 its reverse (3301434230012), we get a palindrome (5401758571045).

The spelling of 2100324341033 in words is "two trillion, one hundred billion, three hundred twenty-four million, three hundred forty-one thousand, thirty-three".

Divisors: 1 17 29 149 493 2533 3533 4321 8093 60061 73457 102457 137581 234697 526417 1205857 1741769 3989849 8949089 15266093 20499569 28592569 34969853 259523581 486073673 594487501 829184501 4260292781 14096136517 72424977277 123548490649 2100324341033