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2100414221 = 53142927733
BaseRepresentation
bin111110100110001…
…1100011100001101
312102101022002122022
41331030130130031
513300201223341
6544231055525
7103023140423
oct17514343415
95371262568
102100414221
119886a1324
124a75115a5
13276204569
1415cd57113
15c45e9e4b
hex7d31c70d

2100414221 has 8 divisors (see below), whose sum is σ = 2141619480. Its totient is φ = 2059267392.

The previous prime is 2100414179. The next prime is 2100414227. The reversal of 2100414221 is 1224140012.

It can be written as a sum of positive squares in 4 ways, for example, as 16491721 + 2083922500 = 4061^2 + 45650^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2100414221 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2100414221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100414227) 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, 61871 + ... + 89603.

It is an arithmetic number, because the mean of its divisors is an integer number (267702435).

Almost surely, 22100414221 is an apocalyptic number.

It is an amenable number.

2100414221 is a deficient number, since it is larger than the sum of its proper divisors (41205259).

2100414221 is a wasteful number, since it uses less digits than its factorization.

2100414221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29215.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2100414221 is about 45830.2762483492. The cubic root of 2100414221 is about 1280.6633567192.

Adding to 2100414221 its reverse (1224140012), we get a palindrome (3324554233).

The spelling of 2100414221 in words is "two billion, one hundred million, four hundred fourteen thousand, two hundred twenty-one".

Divisors: 1 53 1429 27733 75737 1469849 39630457 2100414221