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213351146131 = 41163223143159
BaseRepresentation
bin1100011010110010111…
…0000010001010010011
3202101200210211011220011
43012230232002022103
511443420343134011
6242002343255351
721262016551204
oct3065456021223
9671623734804
10213351146131
1182533183972
1235422a4a557
1317171388946
14a47d3355ab
15583a639621
hex31acb82293

213351146131 has 16 divisors (see below), whose sum is σ = 220883281920. Its totient is φ = 205941372480.

The previous prime is 213351146083. The next prime is 213351146149. The reversal of 213351146131 is 131641153312.

It is a cyclic number.

It is not a de Polignac number, because 213351146131 - 215 = 213351113363 is a prime.

It is a super-2 number, since 2×2133511461312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213351146093 and 213351146102.

It is not an unprimeable number, because it can be changed into a prime (213351146831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1418730 + ... + 1561888.

It is an arithmetic number, because the mean of its divisors is an integer number (13805205120).

Almost surely, 2213351146131 is an apocalyptic number.

213351146131 is a deficient number, since it is larger than the sum of its proper divisors (7532135789).

213351146131 is a wasteful number, since it uses less digits than its factorization.

213351146131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143586.

The product of its digits is 6480, while the sum is 31.

Adding to 213351146131 its reverse (131641153312), we get a palindrome (344992299443).

The spelling of 213351146131 in words is "two hundred thirteen billion, three hundred fifty-one million, one hundred forty-six thousand, one hundred thirty-one".

Divisors: 1 41 163 223 6683 9143 36349 143159 1490309 5869519 23334917 31924457 956731597 1308902737 5203686491 213351146131