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213300310223 = 711131911215117
BaseRepresentation
bin1100011010100110110…
…0000111000011001111
3202101120021011110010202
43012221230013003033
511443314334411343
6241553325524115
721260531502440
oct3065154070317
9671507143122
10213300310223
1182507512120
1235409a1363b
1317163999c20
14a4766a12c7
155835e46db8
hex31a9b070cf

213300310223 has 32 divisors (see below), whose sum is σ = 301462371840. Its totient is φ = 145347903360.

The previous prime is 213300310187. The next prime is 213300310253. The reversal of 213300310223 is 322013003312.

213300310223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213300310223 - 218 = 213300048079 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213300310195 and 213300310204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213300310253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5588540 + ... + 5626577.

It is an arithmetic number, because the mean of its divisors is an integer number (9420699120).

Almost surely, 2213300310223 is an apocalyptic number.

213300310223 is a deficient number, since it is larger than the sum of its proper divisors (88162061617).

213300310223 is a wasteful number, since it uses less digits than its factorization.

213300310223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11215167.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 213300310223 its reverse (322013003312), we get a palindrome (535313313535).

The spelling of 213300310223 in words is "two hundred thirteen billion, three hundred million, three hundred ten thousand, two hundred twenty-three".

Divisors: 1 7 11 13 19 77 91 133 143 209 247 1001 1463 1729 2717 19019 11215117 78505819 123366287 145796521 213087223 863564009 1020575647 1491610561 1603761731 2343959453 2770133899 11226332117 16407716171 19390937293 30471472889 213300310223