Search a number
-
+
213220023021 = 32137853202729
BaseRepresentation
bin1100011010010011100…
…1110101101011101101
3202101100200002102210200
43012210321311223231
511443133311214041
6241541341024113
721255535202115
oct3064471655355
9671320072720
10213220023021
1182476165165
12353a6b55039
1317150168bc5
14a469b62045
15582dd881b6
hex31a4e75aed

213220023021 has 24 divisors (see below), whose sum is σ = 310597767480. Its totient is φ = 140942992896.

The previous prime is 213220022929. The next prime is 213220023031. The reversal of 213220023021 is 120320022312.

213220023021 is a `hidden beast` number, since 213 + 2 + 200 + 230 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41662524996 + 171557498025 = 204114^2 + 414195^2 .

It is not a de Polignac number, because 213220023021 - 226 = 213152914157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213220022985 and 213220023003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213220023031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 950385 + ... + 1153113.

It is an arithmetic number, because the mean of its divisors is an integer number (12941573645).

Almost surely, 2213220023021 is an apocalyptic number.

It is an amenable number.

213220023021 is a deficient number, since it is larger than the sum of its proper divisors (97377744459).

213220023021 is a wasteful number, since it uses less digits than its factorization.

213220023021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203725 (or 203722 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213220023021 its reverse (120320022312), we get a palindrome (333540045333).

The spelling of 213220023021 in words is "two hundred thirteen billion, two hundred twenty million, twenty-three thousand, twenty-one".

Divisors: 1 3 9 137 411 853 1233 2559 7677 116861 202729 350583 608187 1051749 1824561 27773873 83321619 172927837 249964857 518783511 1556350533 23691113669 71073341007 213220023021