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2210034121 = 5328872
BaseRepresentation
bin1000001110111010…
…0111000111001001
312201000120100212121
42003232213013021
514011232042441
61003144411241
7105523660111
oct20356470711
95630510777
102210034121
11a34563389
12518176b21
13292b358c9
1416d730041
15ce04edd1
hex83ba71c9

2210034121 has 9 divisors (see below), whose sum is σ = 2255061991. Its totient is φ = 2165890792.

The previous prime is 2210034089. The next prime is 2210034133. The reversal of 2210034121 is 1214300122.

The square root of 2210034121 is 47011.

It is a perfect power (a square), and thus also a powerful number.

2210034121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1593207225 + 616826896 = 39915^2 + 24836^2 .

It is not a de Polignac number, because 2210034121 - 25 = 2210034089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2210034095 and 2210034104.

It is not an unprimeable number, because it can be changed into a prime (2210031121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2491140 + ... + 2492026.

Almost surely, 22210034121 is an apocalyptic number.

2210034121 is the 47011-st square number.

2210034121 is the 23506-th centered octagonal number.

It is an amenable number.

2210034121 is a deficient number, since it is larger than the sum of its proper divisors (45027870).

2210034121 is an frugal number, since it uses more digits than its factorization.

2210034121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The cubic root of 2210034121 is about 1302.5657652503.

Multiplying 2210034121 by its sum of digits (16), we get a square (35360545936 = 1880442).

Adding to 2210034121 its reverse (1214300122), we get a palindrome (3424334243).

The spelling of 2210034121 in words is "two billion, two hundred ten million, thirty-four thousand, one hundred twenty-one".

Divisors: 1 53 887 2809 47011 786769 2491583 41698757 2210034121