Search a number
-
+
2123205021 = 33717660817
BaseRepresentation
bin111111010001101…
…1000100110011101
312110222011222202000
41332203120212131
513322020030041
6550403352513
7103420642050
oct17643304635
95428158660
102123205021
1199a5483a3
124b3082739
1327ab54042
14161daaa97
15c65ecbb6
hex7e8d899d

2123205021 has 32 divisors (see below), whose sum is σ = 3806311680. Its totient is φ = 1141890048.

The previous prime is 2123205011. The next prime is 2123205031. The reversal of 2123205021 is 1205023212.

It is an interprime number because it is at equal distance from previous prime (2123205011) and next prime (2123205031).

It is not a de Polignac number, because 2123205021 - 219 = 2122680733 is a prime.

It is a super-2 number, since 2×21232050212 = 9015999122399220882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2123204985 and 2123205003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123205011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327196 + ... + 333621.

It is an arithmetic number, because the mean of its divisors is an integer number (118947240).

Almost surely, 22123205021 is an apocalyptic number.

2123205021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2123205021 is a deficient number, since it is larger than the sum of its proper divisors (1683106659).

2123205021 is a wasteful number, since it uses less digits than its factorization.

2123205021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660850 (or 660844 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2123205021 is about 46078.2488925089. The cubic root of 2123205021 is about 1285.2787014778.

Adding to 2123205021 its reverse (1205023212), we get a palindrome (3328228233).

The spelling of 2123205021 in words is "two billion, one hundred twenty-three million, two hundred five thousand, twenty-one".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 357 459 1071 3213 660817 1982451 4625719 5947353 11233889 13877157 17842059 33701667 41631471 78637223 101105001 124894413 235911669 303315003 707735007 2123205021