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2101200021 = 3441897109
BaseRepresentation
bin111110100111101…
…1100010010010101
312102102210000120000
41331033130102111
513300401400041
6544300001513
7103032622404
oct17517342225
95372700500
102101200021
11989088748
124a7830299
1327641b12b
1415d0bd63b
15c4702bb6
hex7d3dc495

2101200021 has 40 divisors (see below), whose sum is σ = 3251971800. Its totient is φ = 1351088640.

The previous prime is 2101200019. The next prime is 2101200037. The reversal of 2101200021 is 1200021012.

It can be written as a sum of positive squares in 4 ways, for example, as 132503121 + 1968696900 = 11511^2 + 44370^2 .

It is not a de Polignac number, because 2101200021 - 21 = 2101200019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2101199976 and 2101200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101200011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 292015 + ... + 299123.

It is an arithmetic number, because the mean of its divisors is an integer number (81299295).

Almost surely, 22101200021 is an apocalyptic number.

It is an amenable number.

2101200021 is a deficient number, since it is larger than the sum of its proper divisors (1150771779).

2101200021 is an equidigital number, since it uses as much as digits as its factorization.

2101200021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7251 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2101200021 is about 45838.8483821311. The cubic root of 2101200021 is about 1280.8230426492.

Adding to 2101200021 its reverse (1200021012), we get a palindrome (3301221033).

The spelling of 2101200021 in words is "two billion, one hundred one million, two hundred thousand, twenty-one".

Divisors: 1 3 9 27 41 81 89 123 267 369 801 1107 2403 3321 3649 7109 7209 10947 21327 32841 63981 98523 191943 291469 295569 575829 632701 874407 1898103 2623221 5694309 7869663 17082927 23608989 25940741 51248781 77822223 233466669 700400007 2101200021