Search a number
-
+
213113211219 = 3419138475121
BaseRepresentation
bin1100011001111010001…
…0011000100101010011
3202101002020002211120000
43012132202120211103
511442423440224334
6241523003421043
721253100256336
oct3063642304523
9671066084500
10213113211219
1182420940947
1235377224783
1317133caba5c
14a4598ba61d
1558247da299
hex319e898953

213113211219 has 20 divisors (see below), whose sum is σ = 335109795240. Its totient is φ = 134597816640.

The previous prime is 213113211211. The next prime is 213113211251. The reversal of 213113211219 is 912112311312.

213113211219 is a `hidden beast` number, since 2 + 1 + 311 + 321 + 1 + 21 + 9 = 666.

It is not a de Polignac number, because 213113211219 - 23 = 213113211211 is a prime.

It is a super-2 number, since 2×2131132112192 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213113211192 and 213113211201.

It is not an unprimeable number, because it can be changed into a prime (213113211211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69236022 + ... + 69239099.

It is an arithmetic number, because the mean of its divisors is an integer number (16755489762).

Almost surely, 2213113211219 is an apocalyptic number.

213113211219 is a deficient number, since it is larger than the sum of its proper divisors (121996584021).

213113211219 is a wasteful number, since it uses less digits than its factorization.

213113211219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138475152 (or 138475143 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The spelling of 213113211219 in words is "two hundred thirteen billion, one hundred thirteen million, two hundred eleven thousand, two hundred nineteen".

Divisors: 1 3 9 19 27 57 81 171 513 1539 138475121 415425363 1246276089 2631027299 3738828267 7893081897 11216484801 23679245691 71037737073 213113211219